{"id":302,"date":"2022-04-12T10:10:05","date_gmt":"2022-04-12T10:10:05","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=302"},"modified":"2025-04-23T06:56:11","modified_gmt":"2025-04-23T06:56:11","slug":"o-7-write-variable-expressions-for-arithmetic-sequences","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/o-7-write-variable-expressions-for-arithmetic-sequences\/","title":{"rendered":"O.7 Write variable expressions for arithmetic sequences"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Write variable expressions for arithmetic sequences<\/strong><\/h2>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background\" style=\"background-color:#dcfce0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2 <strong>Write an expression to describe the sequence below. Use&nbsp;<em>n<\/em>&nbsp;to represent the position of a term in the sequence, where&nbsp;<em>n<\/em>&nbsp;= 1&nbsp;for the first term.<\/strong><\/p>\n\n\n\n<p><sup> <\/sup> &#8211; 7,&nbsp;-14, &#8211; 21,&nbsp;&#8211; 28, &#8230;<\/p>\n<\/div><\/div>\n\n\n\n<p>The sequence&nbsp;-7,&nbsp;-14,&nbsp; &#8211; 21,&nbsp;&#8211; 28, &#8230; looks like 1, 2, 3, 4, &#8230; except each term is multiplied by&nbsp;&#8211; 7. So, the expression that describes the sequence is&nbsp;&#8211;<strong>7<em>n<\/em><\/strong>, where&nbsp;<em>n<\/em>&nbsp;represents the position of a term in the sequence. Check the first four terms:<\/p>\n\n\n\n<p>To find the 1<sup>st<\/sup>&nbsp;term, plug in&nbsp;<em>n<\/em>&nbsp;= 1.<\/p>\n\n\n\n<p>-7n&nbsp;=&nbsp; &#8211; 7<strong>(<strong>1<\/strong>)<\/strong>&nbsp;=&nbsp;&#8211; 7<\/p>\n\n\n\n<p>To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n<p>\u20137n = \u2013 7(2) = \u2013 14<\/p>\n\n\n\n<p>To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n<p>\u2013 7n = \u2013 7(3) = \u2013 21<\/p>\n\n\n\n<p>To find the 4th term, plug in n = 4.<\/p>\n\n\n\n<p>\u2013 7n = \u2013 7(4) = \u2013 28<\/p>\n\n\n\n<p>The sequence \u2013 7, \u2013 14, \u2013 21, \u2013 28, \u2026 is described by the expression \u2013 7n.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f5dcd1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2 <strong>Write an expression to describe the sequence below. Use&nbsp;<em>n<\/em>&nbsp;to represent the position of a term in the sequence, where&nbsp;<em>n<\/em>&nbsp;= 1&nbsp;for the first term.<\/strong><\/p>\n\n\n\n<p> &#8211; 7,&nbsp; &#8211; 6,&nbsp;&#8211; 5,&nbsp; &#8211; 4, &#8230;<\/p>\n<\/div><\/div>\n\n\n\n<p>The sequence&nbsp;-7,&nbsp;&#8211; 6, &#8211; 5,&nbsp;&#8211; 4, &#8230; looks like 1, 2, 3, 4, &#8230; except each term is 8 smaller. So, the expression that describes the sequence is&nbsp;<strong><em>n<\/em>&nbsp;\u2212 8<\/strong>. Check the first four terms:<\/p>\n\n\n\n<p>To find the 1st term, plug in n = 1.<\/p>\n\n\n\n<p>n \u2212 8 = 1 \u2212 8 = \u20137<\/p>\n\n\n\n<p>To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n<p>n \u2212 8 = 2 \u2212 8 = \u20136<\/p>\n\n\n\n<p>To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n<p>n \u2212 8 = 3 \u2212 8 = \u2013 5<\/p>\n\n\n\n<p>To find the 4th term, plug in n = 4.<\/p>\n\n\n\n<p>n \u2212 8 = 4 \u2212 8 = \u2013 4<\/p>\n\n\n\n<p>The sequence \u20137, \u2013 6, \u2013 5, \u2013 4, \u2026 is described by the expression n \u2212 8.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f6f7d0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2<strong> Write an expression to describe the sequence below. Use&nbsp;<em>n<\/em>&nbsp;to represent the position of a term in the sequence, where&nbsp;<em>n<\/em>&nbsp;= 1&nbsp;for the first term.<\/strong><\/p>\n\n\n\n<p>4, 8, 12, 16, &#8230;<\/p>\n<\/div><\/div>\n\n\n\n<p>The sequence 4, 8, 12, 16, &#8230; looks like 1, 2, 3, 4, &#8230; except each term is 4 times as large. So, the expression that describes the sequence is&nbsp;<strong>4<em>n<\/em><\/strong>, where&nbsp;<em>n<\/em>&nbsp;represents the position of a term in the sequence. Check the first four terms:<\/p>\n\n\n\n<p>To find the 1st term, plug in n = 1.<\/p>\n\n\n\n<p>4n = 4(1) = 4<\/p>\n\n\n\n<p>To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n<p>4n = 4(2) = 8<\/p>\n\n\n\n<p>To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n<p>4n = 4(3) = 12<\/p>\n\n\n\n<p>To find the 4th term, plug in n = 4.<\/p>\n\n\n\n<p>4n = 4(4) = 16<\/p>\n\n\n\n<p>The sequence 4, 8, 12, 16, \u2026 is described by the expression 4n.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90878\/824\/704\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-46.png\" alt=\"\" class=\"wp-image-6610\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-46.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-46-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-46-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-46-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/36110\/485\/608\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-46.png\" alt=\"\" class=\"wp-image-6611\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-46.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-46-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-46-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-46-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write variable expressions for arithmetic sequences Learn with an example \ud83d\udce2 Write an expression to describe the sequence below. Use&nbsp;n&nbsp;to represent the position of a term in the sequence, where&nbsp;n&nbsp;= 1&nbsp;for the first term. &#8211; 7,&nbsp;-14, &#8211; 21,&nbsp;&#8211; 28, &#8230; The sequence&nbsp;-7,&nbsp;-14,&nbsp; &#8211; 21,&nbsp;&#8211; 28, &#8230; looks like 1, 2, 3, 4, &#8230; except each<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/o-7-write-variable-expressions-for-arithmetic-sequences\/\">Continue reading <span class=\"screen-reader-text\">&#8220;O.7 Write variable expressions for arithmetic sequences&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-302","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Write variable expressions for arithmetic sequences Learn with an example \ud83d\udce2 Write an expression to describe the sequence below. 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Use n to represent the position of a term in the sequence, where n = 1 for the first term. - 7, -14, - 21, - 28, ... The sequence -7, -14, - 21, - 28, ... looks like 1, 2, 3, 4, ... except each","og:url":"https:\/\/7thclass.deltapublications.in\/index.php\/o-7-write-variable-expressions-for-arithmetic-sequences\/","og:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","og:image:secure_url":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","article:published_time":"2022-04-12T10:10:05+00:00","article:modified_time":"2025-04-23T06:56:11+00:00","twitter:card":"summary","twitter:title":"O.7 Write variable expressions for arithmetic sequences - 7th Class","twitter:description":"Write variable expressions for arithmetic sequences Learn with an example \ud83d\udce2 Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. - 7, -14, - 21, - 28, ... The sequence -7, -14, - 21, - 28, ... looks like 1, 2, 3, 4, ... except each","twitter:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png"},"aioseo_meta_data":{"post_id":"302","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":{"id":"#aioseo-web-page-6735ce4b5574c","slug":"web-page","graphName":"WebPage","label":"Web Page","properties":{"type":"WebPage","name":"","description":""}}},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":"{\"article\":{\"articleType\":\"BlogPosting\"},\"course\":{\"name\":\"\",\"description\":\"\",\"provider\":\"\"},\"faq\":{\"pages\":[]},\"product\":{\"reviews\":[]},\"recipe\":{\"ingredients\":[],\"instructions\":[],\"keywords\":[]},\"software\":{\"reviews\":[],\"operatingSystems\":[]},\"webPage\":{\"webPageType\":\"WebPage\"}}","pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2022-04-12 10:10:05","updated":"2025-09-23 10:29:33","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/7thclass.deltapublications.in\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tO.7 Write variable expressions for arithmetic sequences\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/7thclass.deltapublications.in"},{"label":"O.7 Write variable expressions for arithmetic sequences","link":"https:\/\/7thclass.deltapublications.in\/index.php\/o-7-write-variable-expressions-for-arithmetic-sequences\/"}],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/302","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=302"}],"version-history":[{"count":10,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/302\/revisions"}],"predecessor-version":[{"id":15979,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/302\/revisions\/15979"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}