Coach kunal stacks all of the tennis balls in a square pyramid. the number of tennis balls, p(n), in n layers of the square pyramid is given by p(n) = p(n – 1) + n^2. which could not be the number of tennis balls coach kunal has? a. 30 b. 9 c. 5 d. 14

the correct answer is b.9

The correct option is:  B. 9

Step-by-step explanation:

The number of tennis balls, , in layers of the square pyramid is given by:  

As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So,  

Now, if then

If   then

If   then

That means, the number of tennis balls from the top layer will be:  1, 5, 14, 30, .......

So, the number of tennis balls that Coach Kunal could not have is 9.

step-by-step explanation:

in which figure is point g a centroid