Video: GCSE Mathematics Foundation Tier Pack 3 • Paper 1 • Question 2

GCSE Mathematics Foundation Tier Pack 3 • Paper 1 • Question 2

01:14

Video Transcript

A sequence has the rule “multiply the previous term by three and then subtract two.” Lorna wrote the first four terms of a sequence that follows this rule in the table. Three, seven, 19, 55. Find the next term in the sequence.

So we’re looking to continue this sequence for one more term. And we’ve been given the rule to use. We need to multiply the previous term — so that’s 55 — by three and then subtract two. 55 multiplied by three gives 165.

We can work this out if we think of 55 as 50 and five. 50 multiplied by three is 150 and five multiplied by three is 15. And the sum of these two values is 165, so from the first step which is to multiply the previous term by three. And then we need to subtract two: 165 minus two is 163.

The next term in Lorna’s sequence is 163.

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