Q. 8
Question
What is a geometric progression? What determines the
convergence of a geometric progression?
Step-by-Step Solution
Verified Answer
The series which is obtained by multiplying the terms by a fixed number is geometric progression.
The convergence of the geometric progression depends upon the common ratio.
1Step 1. Given information
The series which is obtained by multiplying the terms by a fixed number; the series following is in geometric progression :-
2Step 2. Convergence of GP
The convergence of the geometric progression depends upon the common ratio.
If the common ratio is less than one, then the series is convergent.
If the common ration is greater than one, then the series is divergent.
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