Question

Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

Answer 1

8, 16, 32, 64,…
×2 ×2 ×2


`a_(n) = a_(1) * r^(n - 1)`

`a_(n) = 8 * 2^(13 - 1)`

`a_(n) = 8 * 2^(12)`

`a_(n) = 8 * 4096`

`a_(n) = 32768`

First Term: 8
Second Term: 16
Third Term: 32
Fourth Term: 64
Fifth Term: 128
Sixth Term: 256
Seventh Term: 512
Eighth Term: 1024
Ninth Term: 2048
Tenth Term: 4096
Eleventh Term: 8192
Twelfth Term: 16384
Thirteenth Term: 32768