Question

determine k,so that 2/3,kand5/8k are the three consecutive terms of an ap please answer this 

Answer 1

Given that the equation forms an AP.

Then,

k - 2/3 = 5/8 * k - k

k - 2/3 = k(5/8 - 1)

k - 2/3 = -3/8 * k

k = -3/8 * k + 2/3

k + 3/8 k = 2/3

11/8k = 2/3

11k = 16/3

33k = 16

k = 16/33.


Hope this helps!