How do you tell whether the sequence 1, 3, 7, 15, 31,... is geometric?
1 Answer
Mar 5, 2017
It is not, since it has no common ratio.
Explanation:
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
2, 4, 8, 16, 32,...
(with common ratio
a_n = 2^n-1