Which formula describes the following geometric sequence? Remember that n represents the term number. 3, 6, 12, 24, ... an = 2 · 3n - 1 an = 3 · 2n - 1 an = 2 + 3 (n - 1) an = 3 + 2 (n - 1)

Question

Joel Buchanan

Mathematics

11 May, 08:07

Which formula describes the following geometric sequence? Remember that n represents the term number. 3, 6, 12, 24, ... an = 2 · 3n - 1 an = 3 · 2n - 1 an = 2 + 3 (n - 1) an = 3 + 2 (n - 1)

+3

Answers (1)

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Cozmo · Answer 1

Geometric sequence:

1st 2nd 3rd 4th

3, 6, 12, 24, ...

an = 2 * 3n - 1

an = 3 * 2n - 1

an = 2 + 3 (n-1)

an = 3 + 2 (n-1)

n = term number

first term = 3; common ratio is 2

a (n) = 3 * 2 (n-1)

a (3) = 3 * 2 (3-1)

a (3) = 3 * 2 (2)

a (3) = 3 * 4

a (3) = 12 correct.

a (n) = 3 * 2 (n-1)