Sum of First N Odd Natural Numbers Calculator

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✖The Value of N is the total number of terms from the beginning of the series up to where the sum of series is calculating.ⓘ Value of N [n]

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✖Sum of First N Odd Natural Numbers is the summation of the odd natural numbers starting from 1 to the nth odd number 2n-1.ⓘ Sum of First N Odd Natural Numbers [S_n1(Odd)]

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Formula

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Sum of First N Odd Natural Numbers

Formula

`"S"_{"n1(Odd)"} = "n"^2`

Example

`"25"=("5")^2`

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Sum of First N Odd Natural Numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of First N Odd Natural Numbers = Value of N^2
S_n1(Odd) = n^2
This formula uses 2 Variables

Variables Used

Sum of First N Odd Natural Numbers - Sum of First N Odd Natural Numbers is the summation of the odd natural numbers starting from 1 to the nth odd number 2n-1.
Value of N - The Value of N is the total number of terms from the beginning of the series up to where the sum of series is calculating.

STEP 1: Convert Input(s) to Base Unit

Value of N: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_n1(Odd) = n^2 --> 5^2

Evaluating ... ...

S_n1(Odd) = 25

STEP 3: Convert Result to Output's Unit

25 --> No Conversion Required

FINAL ANSWER

25 <-- Sum of First N Odd Natural Numbers

(Calculation completed in 00.000 seconds)

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Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 3 Sum of Terms Calculators

Sum of First N Even Natural Numbers

Go Sum of First N Even Natural Numbers = Value of N*(Value of N+1)

Sum of First N Natural Numbers

Go Sum of First N Natural Numbers = (Value of N*(Value of N+1))/2

Sum of First N Odd Natural Numbers

Go Sum of First N Odd Natural Numbers = Value of N^2

Sum of First N Odd Natural Numbers Formula

Sum of First N Odd Natural Numbers = Value of N^2
S_n1(Odd) = n^2

What is a General Series?

Suppose a1, a2, a3, …, an is a sequence such that the expression a1 + a2 + a3 +,…+ an is called the series associated with the given sequence.

Where are Series used?

Series are used in most areas of mathematics, even for studying finite structures (such as in combinatorics) through generating functions. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics, computer science, statistics and finance.

How to Calculate Sum of First N Odd Natural Numbers?

Sum of First N Odd Natural Numbers calculator uses Sum of First N Odd Natural Numbers = Value of N^2 to calculate the Sum of First N Odd Natural Numbers, Sum of First N Odd Natural Numbers formula is defined as the summation of the odd natural numbers starting from 1 to the nth odd number 2n-1. Sum of First N Odd Natural Numbers is denoted by S_n1(Odd) symbol.

How to calculate Sum of First N Odd Natural Numbers using this online calculator? To use this online calculator for Sum of First N Odd Natural Numbers, enter Value of N (n) and hit the calculate button. Here is how the Sum of First N Odd Natural Numbers calculation can be explained with given input values -> 25 = 5^2.

FAQ

What is Sum of First N Odd Natural Numbers?

Sum of First N Odd Natural Numbers formula is defined as the summation of the odd natural numbers starting from 1 to the nth odd number 2n-1 and is represented as S_n1(Odd) = n^2 or Sum of First N Odd Natural Numbers = Value of N^2. The Value of N is the total number of terms from the beginning of the series up to where the sum of series is calculating.

How to calculate Sum of First N Odd Natural Numbers?

Sum of First N Odd Natural Numbers formula is defined as the summation of the odd natural numbers starting from 1 to the nth odd number 2n-1 is calculated using Sum of First N Odd Natural Numbers = Value of N^2. To calculate Sum of First N Odd Natural Numbers, you need Value of N (n). With our tool, you need to enter the respective value for Value of N 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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