What is a Geometric Progression?
In Mathematics a Geometric Progression or simply GP also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed real number called the common ratio. For example, the sequence 2, 6, 18, 54,... is a Geometric Progression with common ratio 3. If the sum of all terms in the progression is a finite number or if the infinite sum of the progression exists then the we say it is an Infinite Geometric Progression or Infinite GP. And if the infinite sum of the progression does not exist, then it is a Finite Geometric Progression or Finite GP. If the absolute value of the common ratio is greater than 1 then the GP will be a Finite GP and if it is less than 1 then the GP will be an Infinite GP.
How to Calculate Sum of Total Terms of Geometric Progression?
Sum of Total Terms of Geometric Progression calculator uses Sum of Total Terms of Progression = (First Term of Progression*(Common Ratio of Progression^(Number of Total Terms of Progression)-1))/(Common Ratio of Progression-1) to calculate the Sum of Total Terms of Progression, The Sum of Total Terms of Geometric Progression formula is defined as the summation of the terms starting from the first to the last term of given Geometric Progression. Sum of Total Terms of Progression is denoted by STotal symbol.
How to calculate Sum of Total Terms of Geometric Progression using this online calculator? To use this online calculator for Sum of Total Terms of Geometric Progression, enter First Term of Progression (a), Common Ratio of Progression (r) & Number of Total Terms of Progression (nTotal) and hit the calculate button. Here is how the Sum of Total Terms of Geometric Progression calculation can be explained with given input values -> 3069 = (3*(2^(10)-1))/(2-1).