Number of Total Terms of Geometric Progression Calculator

✖The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.ⓘ Common Ratio of Progression [r]			+10% -10%
✖The Last Term of Progression is the term at which the given Progression terminates.ⓘ Last Term of Progression [l]			+10% -10%
✖The First Term of Progression is the term at which the given Progression starts.ⓘ First Term of Progression [a]			+10% -10%

✖The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.ⓘ Number of Total Terms of Geometric Progression [n_Total]

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Formula

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Number of Total Terms of Geometric Progression

Formula

`"n"_{"Total"} = log("r","l"/"a")+1`

Example

`"6.058894"=log("2","100"/"3")+1`

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Number of Total Terms of Geometric Progression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1
n_Total = log(r,l/a)+1
This formula uses 1 Functions, 4 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Number of Total Terms of Progression - The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.
Common Ratio of Progression - The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.
Last Term of Progression - The Last Term of Progression is the term at which the given Progression terminates.
First Term of Progression - The First Term of Progression is the term at which the given Progression starts.

STEP 1: Convert Input(s) to Base Unit

Common Ratio of Progression: 2 --> No Conversion Required
Last Term of Progression: 100 --> No Conversion Required
First Term of Progression: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_Total = log(r,l/a)+1 --> log(2,100/3)+1

Evaluating ... ...

n_Total = 6.05889368905357

STEP 3: Convert Result to Output's Unit

6.05889368905357 --> No Conversion Required

FINAL ANSWER

6.05889368905357 ≈ 6.058894 <-- Number of Total Terms of Progression

(Calculation completed in 00.004 seconds)

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< 2 Number of Terms in Geometric Progression Calculators

Number of Total Terms of Geometric Progression

Go Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1

Number of Terms of Geometric Progression

Go Index N of Progression = log(Common Ratio of Progression,Nth Term of Progression/First Term of Progression)+1

Number of Total Terms of Geometric Progression Formula

Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1
n_Total = log(r,l/a)+1

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 Number of Total Terms of Geometric Progression?

Number of Total Terms of Geometric Progression calculator uses Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1 to calculate the Number of Total Terms of Progression, The Number of Total Terms of Geometric Progression formula is defined as the total number of terms present in the given sequence of Geometric Progression. Number of Total Terms of Progression is denoted by n_Total symbol.

How to calculate Number of Total Terms of Geometric Progression using this online calculator? To use this online calculator for Number of Total Terms of Geometric Progression, enter Common Ratio of Progression (r), Last Term of Progression (l) & First Term of Progression (a) and hit the calculate button. Here is how the Number of Total Terms of Geometric Progression calculation can be explained with given input values -> 6.058894 = log(2,100/3)+1.

FAQ

What is Number of Total Terms of Geometric Progression?

The Number of Total Terms of Geometric Progression formula is defined as the total number of terms present in the given sequence of Geometric Progression and is represented as n_Total = log(r,l/a)+1 or Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1. The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression, The Last Term of Progression is the term at which the given Progression terminates & The First Term of Progression is the term at which the given Progression starts.

How to calculate Number of Total Terms of Geometric Progression?

The Number of Total Terms of Geometric Progression formula is defined as the total number of terms present in the given sequence of Geometric Progression is calculated using Number of Total Terms of Progression = log(Common Ratio of Progression,Last Term of Progression/First Term of Progression)+1. To calculate Number of Total Terms of Geometric Progression, you need Common Ratio of Progression (r), Last Term of Progression (l) & First Term of Progression (a). With our tool, you need to enter the respective value for Common Ratio of Progression, Last Term of Progression & First Term 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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