Nth Term of Geometric Progression given (N-1)th Term Calculator

✖The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.ⓘ (N-1)th Term of Progression [T_n-1]			+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 Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.ⓘ Nth Term of Geometric Progression given (N-1)th Term [T_n]

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Nth Term of Geometric Progression given (N-1)th Term Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression
T_n = T_n-1*r
This formula uses 3 Variables

Variables Used

Nth Term of Progression - The Nth Term of Progression is the term corresponding to the index or position n from the beginning in the given Progression.
(N-1)th Term of Progression - The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression.
Common Ratio of Progression - The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.

STEP 1: Convert Input(s) to Base Unit

(N-1)th Term of Progression: 50 --> No Conversion Required
Common Ratio of Progression: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_n = T_n-1*r --> 50*2

Evaluating ... ...

T_n = 100

STEP 3: Convert Result to Output's Unit

100 --> No Conversion Required

FINAL ANSWER

100 <-- Nth Term of Progression

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Nth Term of Geometric Progression Calculators

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

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

Nth Term of Geometric Progression given (N-1)th Term

LaTeX Go Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression

Nth Term of Geometric Progression given (N-1)th Term Formula

LaTeX Go

Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression
T_n = T_n-1*r

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 Nth Term of Geometric Progression given (N-1)th Term?

Nth Term of Geometric Progression given (N-1)th Term calculator uses Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression to calculate the Nth Term of Progression, The Nth Term of Geometric Progression given (N-1)th Term formula is defined as the term corresponding to the index or position n from the beginning of the given Geometric Progression, and calculated using the preceding term. Nth Term of Progression is denoted by T_n symbol.

How to calculate Nth Term of Geometric Progression given (N-1)th Term using this online calculator? To use this online calculator for Nth Term of Geometric Progression given (N-1)th Term, enter (N-1)th Term of Progression (T_n-1) & Common Ratio of Progression (r) and hit the calculate button. Here is how the Nth Term of Geometric Progression given (N-1)th Term calculation can be explained with given input values -> 100 = 50*2.

FAQ

What is Nth Term of Geometric Progression given (N-1)th Term?

The Nth Term of Geometric Progression given (N-1)th Term formula is defined as the term corresponding to the index or position n from the beginning of the given Geometric Progression, and calculated using the preceding term and is represented as T_n = T_n-1*r or Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression. The (N-1)th Term of Progression is the term corresponding to the index or position (n-1) from the beginning of the given Progression & The Common Ratio of Progression is the ratio of any term to its preceding term of the Progression.

How to calculate Nth Term of Geometric Progression given (N-1)th Term?

The Nth Term of Geometric Progression given (N-1)th Term formula is defined as the term corresponding to the index or position n from the beginning of the given Geometric Progression, and calculated using the preceding term is calculated using Nth Term of Progression = (N-1)th Term of Progression*Common Ratio of Progression. To calculate Nth Term of Geometric Progression given (N-1)th Term, you need (N-1)th Term of Progression (T_n-1) & Common Ratio of Progression (r). With our tool, you need to enter the respective value for (N-1)th Term of Progression & Common Ratio of Progression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nth Term of Progression?

In this formula, Nth Term of Progression uses (N-1)th Term of Progression & Common Ratio of Progression. We can use 1 other way(s) to calculate the same, which is/are as follows -

Nth Term of Progression = First Term of Progression*(Common Ratio of Progression^(Index N of Progression-1))

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