### 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.