{"id":300,"date":"2022-04-12T10:09:47","date_gmt":"2022-04-12T10:09:47","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=300"},"modified":"2025-04-23T06:46:27","modified_gmt":"2025-04-23T06:46:27","slug":"o-6-evaluate-variable-expressions-for-number-sequences","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/o-6-evaluate-variable-expressions-for-number-sequences\/","title":{"rendered":"O.6 Evaluate variable expressions for number sequences"},"content":{"rendered":"\n

Evaluate variable expressions for number sequences<\/strong><\/h2>\n\n\n\n

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

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\ud83d\udce2 Find the first four terms of the sequence defined below, where n<\/em> represents the position of a term in the sequence. Start with n<\/em> = 1.<\/strong><\/p>\n\n\n\n

– 9n<\/em> + 4<\/p>\n\n\n\n

____ ,___ ,___ , _____<\/p>\n<\/div><\/div>\n\n\n\n

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

-9n + 4 = -9(1) + 4 = -9 + 4 = -5<\/p>\n\n\n\n

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

– 9n + 4 = – 9(2) + 4 = -18 + 4 = -14<\/p>\n\n\n\n

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

-9n + 4 = -9(3) + 4 = -27 + 4 = -23<\/p>\n\n\n\n

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

– 9n + 4 = – 9(4) + 4 = -36 + 4 = -32<\/p>\n\n\n\n

The first four terms of the sequence are -5, -14, -23, -32.<\/p>\n<\/div><\/div>\n\n\n\n

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\ud83d\udce2 Find the first four terms of the sequence defined below, where n<\/em> represents the position of a term in the sequence. Start with n<\/em> = 1.<\/strong><\/p>\n\n\n\n

3(4)n<\/em><\/sup><\/p>\n\n\n\n

____ ,___ ,___ , _____<\/p>\n<\/div><\/div>\n\n\n\n

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

3(4)n<\/sup> = 3(4)1<\/sup> = 3(4) = 12<\/p>\n\n\n\n

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

3(4)n <\/sup>= 3(4)2 <\/sup>= 3(16) = 48<\/p>\n\n\n\n

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

3(4)n<\/sup> = 3(4)3 <\/sup>= 3(64) = 192<\/p>\n\n\n\n

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

3(4)n<\/sup> = 3(4)4 =<\/sup> 3(256) = 768<\/p>\n\n\n\n

The first four terms of the sequence are 12, 48, 192, 768.<\/p>\n<\/div><\/div>\n\n\n\n

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\ud83d\udce2 Find the first four terms of the sequence defined below, where n<\/em> represents the position of a term in the sequence. Start with n<\/em> = 1<\/strong>.<\/p>\n\n\n\n

\u2013<\/sup>6n<\/em> \u2212 1<\/p>\n\n\n\n

___ ,____ ,____ ,___<\/p>\n<\/div><\/div>\n\n\n\n

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

-6n \u2212 1 = -6(1) \u2212 1 = -6 \u2212 1 = -7<\/p>\n\n\n\n

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

-6n \u2212 1 = -6(2) \u2212 1 = -12 \u2212 1 = -13 <\/p>\n\n\n\n

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

-6n \u2212 1 = -6(3) \u2212 1 = -18 \u2212 1 = -19<\/p>\n\n\n\n

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

-6n \u2212 1 = -6(4) \u2212 1 = -24 \u2212 1 = -25<\/p>\n\n\n\n

The first four terms of the sequence are -7, -13, -19, -25.<\/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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Evaluate variable expressions for number sequences Learn with an example \ud83d\udce2 Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1. – 9n + 4 ____ ,___ ,___ , _____ To find the 1st term, plug in n = 1. -9n + 4 = -9(1) + 4Continue reading “O.6 Evaluate variable expressions for number 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-300","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/300","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=300"}],"version-history":[{"count":11,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/300\/revisions"}],"predecessor-version":[{"id":15977,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/300\/revisions\/15977"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}