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: 1 2 5 14 41

Terms are determined by multiplying the previous term by one value and subtracting another.

Sequence: 1 2 5 14 41

The difference between the terms increases by a multiple of 3

Sequence: 1 2 5 14 41

An expression for the nth term is (3^n-1 + 1)/2.

Sequence: 1 2 5 14 41

• Terms are determined by multiplying the previous term by one value and subtracting another.
• The difference between the terms increases by a multiple of 3
• An expression for the nth term is (3^n-1 + 1)/2.

The answer is 122