Question

If the 8th term of an A.P. is 31 and 15th term is 16 more than the 11th term. Find the A.P.

Answer 1

SOLUTION

Let first term of A.P.= a

common difference= d

Then as per given,

a8= 31 & a15 = 16+ a11

=)a+7d = 31 & a+14d= 16+(a+10d)

=)a+7d= 31 & 4d = 16

=) a+ 7d= 31 & d= 4

=) a+ 7(4)= 31

=) a+ 28= 31

=) a=31-28

=) a= 3

Hence, the required A.P

=) a, a+d, a+2d, a+3d,.....

=)3, 7, 11, 15,.....

Hope it helps ☺️⬆️

Answer 2

Step-by-step explanation:

refer to the attachment