Last Term of 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 Progression is the ratio of any term to its preceding term of the Progression.ⓘ Common Ratio of Progression [r]			+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 Progression [n_Total]			+10% -10%

✖The Last Term of Progression is the term at which the given Progression terminates.ⓘ Last Term of Geometric Progression [l]

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Last Term of Geometric Progression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1)
l = a*r^(n_Total-1)
This formula uses 4 Variables

Variables Used

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.
Common Ratio of Progression - The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.
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.

STEP 1: Convert Input(s) to Base Unit

First Term of Progression: 3 --> No Conversion Required
Common Ratio of Progression: 2 --> No Conversion Required
Number of Total Terms of Progression: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = a*r^(n_Total-1) --> 3*2^(10-1)

Evaluating ... ...

l = 1536

STEP 3: Convert Result to Output's Unit

1536 --> No Conversion Required

FINAL ANSWER

1536 <-- Last Term of Progression

(Calculation completed in 00.004 seconds)

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The National Institute of Engineering (NIE), Mysuru

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< First and Last Term of Geometric Progression Calculators

Last Term of Geometric Progression

LaTeX Go Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1)

First Term of Geometric Progression

LaTeX Go First Term of Progression = Nth Term of Progression/(Common Ratio of Progression^(Index N of Progression-1))

Last Term of Geometric Progression Formula

LaTeX Go

Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1)
l = a*r^(n_Total-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 Last Term of Geometric Progression?

Last Term of Geometric Progression calculator uses Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1) to calculate the Last Term of Progression, The Last Term of Geometric Progression formula is defined as the term at which the given Geometric Progression terminates. Last Term of Progression is denoted by l symbol.

How to calculate Last Term of Geometric Progression using this online calculator? To use this online calculator for Last Term of Geometric Progression, enter First Term of Progression (a), Common Ratio of Progression (r) & Number of Total Terms of Progression (n_Total) and hit the calculate button. Here is how the Last Term of Geometric Progression calculation can be explained with given input values -> 384 = 3*2^(10-1).

FAQ

What is Last Term of Geometric Progression?

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

How to calculate Last Term of Geometric Progression?

The Last Term of Geometric Progression formula is defined as the term at which the given Geometric Progression terminates is calculated using Last Term of Progression = First Term of Progression*Common Ratio of Progression^(Number of Total Terms of Progression-1). To calculate Last Term of Geometric Progression, you need First Term of Progression (a), Common Ratio of Progression (r) & Number of Total Terms of Progression (n_Total). With our tool, you need to enter the respective value for First Term of Progression, Common Ratio of Progression & Number of Total Terms 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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