Question

I need help with finding the value of n?​

Answer 1

14

Explanation:

2k - 1 is linear, so this is an arithmetic series. The sum of an arithmetic series is:

S = (n/2) (a₁ + an)

Here:

S = 196

a₁ = 2(1) - 1 = 1

an = 2n - 1

Solving:

196 = (n/2) (1 + 2n - 1)

196 = (n/2) (2n)

196 = n²

n = 14