Answer:
14
Step-by-step 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
