Question

for what value of k will k+9,2k-1anf2k+7be the consecutive termsof an a.p​

Answer 1

Answer:

Step-by-step explanation:

Hi....

Here's your answer

Let, k + 9 , 2k - 1 and 2k + 7 be a , a2 and a3 resp.

Since the terms are in A.P

Therefore common difference d is same

So,

d = a2 - a = 2k - 1 - k - 9 = k - 10 ....1

d1 = a3 - a2 = 2k + 7 - 2k + 1 = 8 ...2

1 and 2 imply,

k - 10 = 8

k = 10 + 8

k = 18