Question

for what value of k will k+9,2k-1 , 2k+7 be the consecutive term of an AP

Answer 1

(2k-1) - (k+9) = (2k+7) - (2k-1)

2k - 1 - k - 9 = 2k + 7 - 2k + 1

k - 10 = 8

k = 18.