Penn stacks all his snowballs in a square pyramid. the number of snowball, P (n) in n layers of the square pyramid is given by P (n) = P (n-1) + n2

which could not be the number of snowballs Penn has?

A: 5

B: 30

C: 25

D: 14

C: 25

Step-by-step explanation:

P (n) = P (n-1) + n²

P₁ = P₀ + 1² = 0 + 1 = 1

P₂ = P₁ + 2² = 1 + 4 = 5 (Option A)

P₃ = P₂ + 3² = 5 + 9 = 14 (Option D)

P₄ = P₃ + 4² = 14 + 16 = 30 (Option B)

The number of snowballs cannot be 25.

Right answer is C-25

P (1) = 1

P (2) = P (2-1) + 2^2=1+4=5

P (3) = P (3-1) + 3^2=5+9=14

P (4) = P (4-1) + 4^2=14+16=30

There isn't 25