{"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

Write variable expressions for arithmetic sequences<\/strong><\/h2>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\ud83d\udce2 Write an expression to describe the sequence below. Use n<\/em> to represent the position of a term in the sequence, where n<\/em> = 1 for the first term.<\/strong><\/p>\n\n\n\n

<\/sup> – 7, -14, – 21, – 28, …<\/p>\n<\/div><\/div>\n\n\n\n

The sequence -7, -14,  – 21, – 28, … looks like 1, 2, 3, 4, … except each term is multiplied by – 7. So, the expression that describes the sequence is –7n<\/em><\/strong>, where n<\/em> represents the position of a term in the sequence. Check the first four terms:<\/p>\n\n\n\n

To find the 1st<\/sup> term, plug in n<\/em> = 1.<\/p>\n\n\n\n

-7n =  – 7(1<\/strong>)<\/strong> = – 7<\/p>\n\n\n\n

To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n

\u20137n = \u2013 7(2) = \u2013 14<\/p>\n\n\n\n

To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n

\u2013 7n = \u2013 7(3) = \u2013 21<\/p>\n\n\n\n

To find the 4th term, plug in n = 4.<\/p>\n\n\n\n

\u2013 7n = \u2013 7(4) = \u2013 28<\/p>\n\n\n\n

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

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\ud83d\udce2 Write an expression to describe the sequence below. Use n<\/em> to represent the position of a term in the sequence, where n<\/em> = 1 for the first term.<\/strong><\/p>\n\n\n\n

– 7,  – 6, – 5,  – 4, …<\/p>\n<\/div><\/div>\n\n\n\n

The sequence -7, – 6, – 5, – 4, … looks like 1, 2, 3, 4, … except each term is 8 smaller. So, the expression that describes the sequence is n<\/em> \u2212 8<\/strong>. Check the first four terms:<\/p>\n\n\n\n

To find the 1st term, plug in n = 1.<\/p>\n\n\n\n

n \u2212 8 = 1 \u2212 8 = \u20137<\/p>\n\n\n\n

To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n

n \u2212 8 = 2 \u2212 8 = \u20136<\/p>\n\n\n\n

To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n

n \u2212 8 = 3 \u2212 8 = \u2013 5<\/p>\n\n\n\n

To find the 4th term, plug in n = 4.<\/p>\n\n\n\n

n \u2212 8 = 4 \u2212 8 = \u2013 4<\/p>\n\n\n\n

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

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\ud83d\udce2 Write an expression to describe the sequence below. Use n<\/em> to represent the position of a term in the sequence, where n<\/em> = 1 for the first term.<\/strong><\/p>\n\n\n\n

4, 8, 12, 16, …<\/p>\n<\/div><\/div>\n\n\n\n

The sequence 4, 8, 12, 16, … looks like 1, 2, 3, 4, … except each term is 4 times as large. So, the expression that describes the sequence is 4n<\/em><\/strong>, where n<\/em> represents the position of a term in the sequence. Check the first four terms:<\/p>\n\n\n\n

To find the 1st term, plug in n = 1.<\/p>\n\n\n\n

4n = 4(1) = 4<\/p>\n\n\n\n

To find the 2nd term, plug in n = 2.<\/p>\n\n\n\n

4n = 4(2) = 8<\/p>\n\n\n\n

To find the 3rd term, plug in n = 3.<\/p>\n\n\n\n

4n = 4(3) = 12<\/p>\n\n\n\n

To find the 4th term, plug in n = 4.<\/p>\n\n\n\n

4n = 4(4) = 16<\/p>\n\n\n\n

The sequence 4, 8, 12, 16, \u2026 is described by the expression 4n.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice!\ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n

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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 eachContinue reading “O.7 Write variable expressions for arithmetic sequences”<\/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":[],"_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}]}}