Question

If 3/5 ,K, 13/5 are in AP then find k

Answer 1

Answer:

k = 8/5

Step-by-step explanation:

If the given sequence are in AP then

k-3/5 = 13/5-k

2k = 13/5 +3/5

2k = 16/5

k = 8/5

Answer 2

GIVEN :

AP : 3/5, K, 13/5

We know that,

Common Difference between in the numbers in an AP is same.

Thus,

Common Difference = a2 - a1 = a³ - a2

K - 3/5 = 13/5 - K

K + K = 13/5 + 3/5

2K = 16/5

K = 16/5 × 1/2

K = 16/10

K = 8/5

Therefore, the value of K is 8/5.