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

User Rudolph
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1 Answer

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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


The\ expression\ that\ would\ give\ the\ thirteenth\ term\ of\ the\ problem\ would\ be\ the\ equation\ of\ the\ geometric\ sequence,\ which\ is\ equal\ to\ a_(n) = a_(1) * r^(n - 1).

User SysHex
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