Question

If k – 2, 2k and 2k + 7 are three consecutive terms of an A.P., Find k​

Answer 1

Step-by-step explanation:

k,2k−1,2k+1 are three terms in A.P. Then,

Common difference between first two terms = 2k−1−k =k−1

Common difference between next two terms = 2k+1−2k+1 =2

The common difference between consecutive terms should be equal.

Hence, k−1=2

k=3