Maths and Computing:

The activity

• This activity displays a sequence of numbers
• The next value in the sequence needs to be determined
• Up to three clues can be viewed to help determine the answer

Find the next value in the sequence:

Sequence: 2 8 32 128 512

This is a geometric sequence.

Sequence: 2 8 32 128 512

The first term is 2 and the ratio between consecutive terms is 4.

Sequence: 2 8 32 128 512

An expression for the nth term is 2 × 4^n-1.

Sequence: 2 8 32 128 512

• This is a geometric sequence.
• The first term is 2 and the ratio between consecutive terms is 4.
• An expression for the nth term is 2 × 4^n-1.

The answer is 2048