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Question

The first term is 1 in the geometric sequence 1,3,9,27,. What is the 7th term of the geometric sequence?

A
243
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B
30
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C
81
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D
189
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E
729
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Solution

The correct option is E 729
A geometric sequence has a constant ratio (common ratio) between consecutive terms.
For the sequence 1,3,9,27,..., the common ratio is 3 because:
1(3)=3 and (3)(3)=9
Since 1st term is 1, second is 3 and 4th term is 27, then
5th term = (27)(3)=81
6th term = (81)(3)=243
7th term = (243)(3)=729
Hence, option E is the correct answer.

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