Question

Determine K, so that $\frac{2}{3} k, and \frac{5}{8} k$ are the three consecutive term of AP.

Answer 1

Step-by-step explanation:

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!