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(a) The nth term of a progression is (3n...

(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.

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(a) 23 (b) -4
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