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.

Geometric progression

Initial value

Common ratio

Number of last term n

Calculation precision

Digits after the decimal point: 2

Calculate

N-th term

 

Partial sum to n

 

Infinite sum

 

 Link  Save  Widget