Is the following a geometric sequence 3, 9, 27, 81,…

Kasey Reese

Kasey Reese

Answered question

2022-10-15

Is the following a geometric sequence 3, 9, 27, 81,…

Answer & Explanation

veirenca77

veirenca77

Beginner2022-10-16Added 9 answers

A geometric sequence is a sequence of the form
a 0 , a 0 r , a 0 r 2 , a 0 r 3 , ... , a 0 r n , ...
where a 0 is the first term in the sequence and r is the common ratio between terms.
Looking at the given sequence, we can write it as
3 , 3 3 1 , 3 3 2 , 3 3 3 , ...
which matches the pattern for the first term a 0 = 3 and common ratio r=3.

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