Sum except First N Terms of Infinite Geometric Progression Calculator

✖The First Term of Progression is the term at which the given Progression starts.ⓘ First Term of Progression [a]			+10% -10%
✖The Common Ratio of Infinite Progression is the ratio of any term to its preceding term of an Infinite Progression.ⓘ Common Ratio of Infinite Progression [r_∞]			+10% -10%
✖The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.ⓘ Index N of Progression [n]			+10% -10%

✖Sum except First N Terms of Infinite Progression is the value obtained after adding all the terms in the Infinite Progression, except first n terms.ⓘ Sum except First N Terms of Infinite Geometric Progression [S_∞-n]

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Sum except First N Terms of Infinite Geometric Progression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum except First N Terms of Infinite Progression = (First Term of Progression*Common Ratio of Infinite Progression^Index N of Progression)/(1-Common Ratio of Infinite Progression)
S_∞-n = (a*r_∞^n)/(1-r_∞)
This formula uses 4 Variables

Variables Used

Sum except First N Terms of Infinite Progression - Sum except First N Terms of Infinite Progression is the value obtained after adding all the terms in the Infinite Progression, except first n terms.
First Term of Progression - The First Term of Progression is the term at which the given Progression starts.
Common Ratio of Infinite Progression - The Common Ratio of Infinite Progression is the ratio of any term to its preceding term of an Infinite Progression.
Index N of Progression - The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.

STEP 1: Convert Input(s) to Base Unit

First Term of Progression: 3 --> No Conversion Required
Common Ratio of Infinite Progression: 0.8 --> No Conversion Required
Index N of Progression: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_∞-n = (a*r_∞^n)/(1-r_∞) --> (3*0.8^6)/(1-0.8)

Evaluating ... ...

S_∞-n = 3.93216

STEP 3: Convert Result to Output's Unit

3.93216 --> No Conversion Required

FINAL ANSWER

3.93216 <-- Sum except First N Terms of Infinite Progression

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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< Infinite Geometric Progression Calculators

Sum except First N Terms of Infinite Geometric Progression

LaTeX Go Sum except First N Terms of Infinite Progression = (First Term of Progression*Common Ratio of Infinite Progression^Index N of Progression)/(1-Common Ratio of Infinite Progression)

Sum of Infinite Geometric Progression

LaTeX Go Sum of Infinite Progression = First Term of Progression/(1-Common Ratio of Infinite Progression)

Sum except First N Terms of Infinite Geometric Progression Formula

LaTeX Go

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 except First N Terms of Infinite Geometric Progression?

Sum except First N Terms of Infinite Geometric Progression calculator uses Sum except First N Terms of Infinite Progression = (First Term of Progression*Common Ratio of Infinite Progression^Index N of Progression)/(1-Common Ratio of Infinite Progression) to calculate the Sum except First N Terms of Infinite Progression, The Sum except First N Terms of Infinite Geometric Progression formula is defined as the value obtained after adding all the terms in the Infinite Geometric Progression, except first n terms. Sum except First N Terms of Infinite Progression is denoted by S_∞-n symbol.

How to calculate Sum except First N Terms of Infinite Geometric Progression using this online calculator? To use this online calculator for Sum except First N Terms of Infinite Geometric Progression, enter First Term of Progression (a), Common Ratio of Infinite Progression (r_∞) & Index N of Progression (n) and hit the calculate button. Here is how the Sum except First N Terms of Infinite Geometric Progression calculation can be explained with given input values -> 3.93216 = (3*0.8^6)/(1-0.8).

FAQ

What is Sum except First N Terms of Infinite Geometric Progression?

The Sum except First N Terms of Infinite Geometric Progression formula is defined as the value obtained after adding all the terms in the Infinite Geometric Progression, except first n terms and is represented as S_∞-n = (a*r_∞^n)/(1-r_∞) or Sum except First N Terms of Infinite Progression = (First Term of Progression*Common Ratio of Infinite Progression^Index N of Progression)/(1-Common Ratio of Infinite Progression). The First Term of Progression is the term at which the given Progression starts, The Common Ratio of Infinite Progression is the ratio of any term to its preceding term of an Infinite Progression & The Index N of Progression is the value of n for the nth term or the position of the nth term in a Progression.

How to calculate Sum except First N Terms of Infinite Geometric Progression?

The Sum except First N Terms of Infinite Geometric Progression formula is defined as the value obtained after adding all the terms in the Infinite Geometric Progression, except first n terms is calculated using Sum except First N Terms of Infinite Progression = (First Term of Progression*Common Ratio of Infinite Progression^Index N of Progression)/(1-Common Ratio of Infinite Progression). To calculate Sum except First N Terms of Infinite Geometric Progression, you need First Term of Progression (a), Common Ratio of Infinite Progression (r_∞) & Index N of Progression (n). With our tool, you need to enter the respective value for First Term of Progression, Common Ratio of Infinite Progression & Index N of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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