Question

for what value of k,are the no.x,2x+k and 3x+6 three consecutive terms of an A​

Answer 1

Answer:

For a set of numbers to be in AP,

The common difference should be equal.

Here,

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

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

x + k = x + 6 - k

x - x + k + k = 6

2k = 6

k = 3

The value of k should be 3