If 1 2 4 + 1 4 6 + 1 6 8 + (n terms )= k n n 1 , then k is equal to

Step-by-step solution

Given series can be rewritten as gathered 1 2 [ 1 2 - 1 4 + 1 4 - 1 6 + + 1 2 n - 1 2 n+2 ] = 1 4 (1- 1 n+1 ) = 1 4 ( n n+1 ) gathered On comparing given equation, we get k= 1 4