# 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 the common ratio module is greater than 1, progression shows the 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 . The sum of infinite geometric progression can only be defined if the common ratio ranges from -1 to 1 inclusive.

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