Question

Which term of the Ap is 10, 13, 16, ... is 31 ? (a) 5th term (b) 6th term (c) 7th term (d) 8th term

Answer 1

Answer:

17 is the 10th term of the A.P. Step-by-step explanation: Given that the 3rd term of an A.P. is 38 and 8th term is 23.

Answer 2

First term, a = 10

Common difference, d = 13 - 10 = 3

Let 31 be nth term

So, Tn = a + (n-1)d

=> 31 = 10 + (n-1)3

=> 21 = (n-1)3

=> n - 1 = 7

=> n = 8

Thus, 31 is the 8th term.