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 9 15 33 63 129

Terms are based on more than one previous term.

Sequence: 3 9 15 33 63 129

The nth term it the (n-2)th term times 2 plus the (n-1)th term.

Sequence: 3 9 15 33 63 129

An expression for the nth term is (6 × (-1)ⁿ + 12 × 2ⁿ)/6.

Sequence: 3 9 15 33 63 129

• Terms are based on more than one previous term.
• The nth term it the (n-2)th term times 2 plus the (n-1)th term.
• An expression for the nth term is (6 × (-1)ⁿ + 12 × 2ⁿ)/6.

The answer is 255