Geometric progression

This calculator computes n-th term and sum of geometric progression

Geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio.

If module of common ratio is greater than 1 progression shows exponential growth of terms towards infinity, if it is less than 1, but not zero, progression shows exponential decay of terms towards zero.

N-th term of the progression is found as

Partial sum to n
where q is not equal to 1

For q =1

The number of terms in infinite geometric progression will approach to infinity n = \infty. Sum of infinite geometric progression can only be defined if common ratio is at the range from -1 to 1 inclusive.


PLANETCALC, Geometric progression

Geometric progression

Digits after the decimal point: 2
N-th term
Partial sum to n
Infinite sum

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Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Geometric progression