Question

. If 2/3, k, 5k/8 are in A.P then the value of k is *​

Answer 1

If 2/3, k, 5k/8 are in A.P then there is a common different between then let the common difference 'd'

ie K+d = 5k/8

=> d= -3k/8

ie (2/3)+d=k

=> (2/3)+(3k+8)=k

(16-9k) / 24=k

16-9k=24k

24k+9k=16

33k=16

k=16/33

there for the value of k is 16/33

The series is 2,3,16,33,10,33