Question

Find the Nth term of each of the following APs:5,11,17,23....

Answer 1

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Given A.P. :-

5, 11, 17, 23, ...........

Here,

First term , a = 5

Second term , ${a_2}$ = 11

Common difference , d = ${a_2}$ - a

d = 11 - 5 = 6

Now,

${a_n}$ = a + (n - 1)d

Putting the known values in it.

${a_n}$ = 5 + (n - 1)6

${a_n}$ = 5 + 6n - 6

${a_n}$ = 6n - 1

•°•

nth term = 6n - 1

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Answer 2

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AP = 5 , 11 , 17 , 23 ............



Here,



First term ( a ) = 5


Common difference ( d ) = 11 - 5 = 6



Therefore,

nth term = a + ( n - 1 ) × d


nth term = 5 + ( n - 1 ) × 6


nth term = 5 + 6n - 6

nth term = 6n - 1.