Please tell whether the sequence 1,3,7,15,31,... is geometric

jorgejasso85xvx

jorgejasso85xvx

Answered question

2022-11-03

Please tell whether the sequence 1,3,7,15,31,... is geometric

Answer & Explanation

andytronicoh4t

andytronicoh4t

Beginner2022-11-04Added 18 answers

This sequence is not geometric as the ratio between successive pairs of terms is not constant. For example:
3 1 = 9 3 7 3
Adding 1 to each element does result in a geometric sequence:
2 , 4 , 8 , 16 , 32 , ...
(with common ratio 2) and hence we can write a formula for the nth term of our original sequence:
a n = 2 n - 1

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