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: 3 5 2 3 3 5 2 3

This is a periodic sequence with period 4.

Sequence: 3 5 2 3 3 5 2 3

The nth term equals the (n-4)th term.

Sequence: 3 5 2 3 3 5 2 3

An expression for the nth term is u_{((n-1) mod 4 + 1)} where u₁, u₂, u₃ and u₄ are the first four terms.

Sequence: 3 5 2 3 3 5 2 3

• This is a periodic sequence with period 4.
• The nth term equals the (n-4)th term.
• An expression for the nth term is u_{((n-1) mod 4 + 1)} where u₁, u₂, u₃ and u₄ are the first four terms.

The answer is 3