## Realated Questions

A calculator has two memory buttons, A and B. Value 1 is initially stored in both memory locations. The following sequence of steps is carried out five times:

i. add 1 to B ii. multiply A and B. iii. store the result in A

What is the value stored in memory location A after this procedure?

For the product n(n + 1) (2n + 1), nN, which one of the following is necessarily false?

Boxes numbered 1, 2, 3, 4, and 5 are kept in a row, and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. How many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?