Answer:
The correct option is B.
Step-by-step explanation:
The number of snowballs in n layers of square pyramid is given by
[tex]P(n)=P(n-1)+n^2[/tex]
[tex]P(1)=P(1-1)+1^2[/tex]
[tex]P(1)=P(0)+1=1[/tex]
[tex]P(2)=P(2-1)+2^2[/tex]
[tex]P(2)=P(1)+4\Rightarrow 1+4=5[/tex]
[tex]P(3)=P(3-1)+3^2[/tex]
[tex]P(3)=P(2)+9\Rightarrow 5+9=14[/tex]
[tex]P(4)=P(4-1)+4^2[/tex]
[tex]P(4)=P(3)+16\Rightarrow 14+16=30[/tex]
[tex]P(5)=P(5-1)+5^2[/tex]
[tex]P(5)=P(4)+25\Rightarrow 30+25=55[/tex]
The values of P(n) are 1, 5, 14, 30, 55 ,....
25 could not be the number of snowballs penn has.
Therefore the correct option is B.
