Based on the pattern, what are the next two terms of the sequence 9, 15, 21, 27, ...?

Bavikhove8h 2022-09-08 Answered
Based on the pattern, what are the next two terms of the sequence 9, 15, 21, 27, ...?
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Answers (1)

Cooper Gillespie
Answered 2022-09-09 Author has 4 answers
Let's look at the sequence term by term:

a 1 = 9
a 2 = 15
a 3 = 21
Notice that: a 2 - a 1 = 6 and a 3 - a 2 = 6
We can deduce that: a n+1 = a n + 6
We can test this on the 4 t h term: a 4 should equal 21+6=27
Since this checks out we can say that the sequence is an arithmetic progression with a common diference of 6.
a 5 = 27 + 6 = 33
and
a 6 = 33 + 6 = 39
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