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[" 16the nth term of a progression be a ...

[" 16the nth term of a progression be a linear expression in "n" then "],[" prove that this progression is an AP."]

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If the nth term of a progression be a linear expression in n prove that this progression is an AP.

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(a) The nth term of a progression is (3n + 5) . Prove that this progression is an arithmetic progression. Also find its 6th term. (b) The nth term of a progression is (3 - 4n) . Prove that this progression is an arithmetic progression. Also find its common difference. (c) The nth term of a progression is (n^(2) - n + 1). Prove that it is not an A.P.

(a) The nth term of a progression is (3n + 5) . Prove that this progression is an arithmetic progression. Also find its 6th term. (b) The nth term of a progression is (3 - 4n) . Prove that this progression is an arithmetic progression. Also find its common difference. (c) The nth term of a progression is (n^(2) - n + 1). Prove that it is not an A.P.

(i) The nth term of a progression is 2n+1. Prove that it is an A. P. Also find its 5th term. (ii) The nth term of a progression is linear expansion in 'n' . Show that it is an A.P. (iii) The nth term of a progression is (n^(2)+1) . Show that it is not an A.P.

The nth term of an arithmetic progression is 3n-1. Find the progression.

Arithematic Progression|Nth Term of an A.P