Q5 of 178 Page 526

Find the nth term of each of the following AP’s:

5, 11, 17, 23, ...

Here, First term = a = 5

Common difference = d = 11 - 5 = 6


To find = nth term


Using the formula for finding nth term of an A.P.,


an = a + (n - 1) × d


∴ an = 5 + (n - 1) × 6


⇒ an = 5 + 6n - 6 = 6n - 1


∴ nth term of the given AP is (6n - 1).


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Find the nth term of each of the following AP’s:

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If the nth term of a progression is (4n - 10) show that it is an AP. Find its

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(ii) common difference, and


(iii) 16th term.