Question

A grocer stacks oranges in a square pyramid. each orange sits on the 4 oranges below it. so, the top layer has 1 orange and the layer below it has 4 oranges. the layer below that has 9 oranges. the total number of oranges required for 1 layer is 1. the total number of oranges required for 2 layers is 5. the total number of oranges required for three layers is 14.

a. write a recursive formula for the sequence.
b. how many oranges are required for 10 layers?

Answer 1

a. No. of oranges in layer no. i = i*i
b. No oranges reqired for 10 layers = ∑i² where i=0 and i-->10
= 385