Question

Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.

Answer 1

Second term is -8 and nth term is 18/5

Answer 2

nth term of the AP = 5n-13

Second term of the AP = -8

Step-by-step explanation:

Given: 6th term of AP = 12

8th term = 22.

Find: Second and nth term

Solution:

a6 = 12

a8 = 22

a8 = a6 +2d  

22 = 12 + 2d

10 = 2d

d = 5

a6 = a + 5d = 12

 a +25 = 12

Therefore a = -13

So nth term of the AP = 5n-13

Second term of the AP = -13 + 5 = -8