Question

For what value of k are the number x , 2 X + K, 3 X + 6 three consecutive terms of an ap

Answer 1

for a set of ap, the common difference should be equal,
2x+k-x=3x+6-(2x+k)

x+k=3x+6-2x-k

x+k=x+6-k

2k=6

k=3