FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Sum of Cubes of First N Odd Numbers Formula

Fx Copy
LaTeX Copy
Sum of Cubes of First N Odd Natural Numbers is the summation of cubes of the odd numbers starting from 1 to the nth odd number 2n-1. Check FAQs
Sn3(Odd)=(n)2⋅(2⋅(n)2-1)
Sn3(Odd) - Sum of Cubes of First N Odd Natural Numbers?n - Value of N?

Sum of Cubes of First N Odd Numbers Example

With values
With units
Only example

Here is how the Sum of Cubes of First N Odd Numbers equation looks like with Values.

Here is how the Sum of Cubes of First N Odd Numbers equation looks like with Units.

Here is how the Sum of Cubes of First N Odd Numbers equation looks like.

153Edit=(3Edit)2⋅(2⋅(3Edit)2-1)
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Math » Category Sequence and Series » Category General Series » fx Sum of Cubes of First N Odd Numbers

Sum of Cubes of First N Odd Numbers Solution

Follow our step by step solution on how to calculate Sum of Cubes of First N Odd Numbers?

FIRST Step Consider the formula
Sn3(Odd)=(n)2⋅(2⋅(n)2-1)
Next Step Substitute values of Variables
∴ Sn3(Odd)=(3)2⋅(2⋅(3)2-1)
Next Step Prepare to Evaluate
∴ Sn3(Odd)=(3)2⋅(2⋅(3)2-1)
LAST Step Evaluate
∴Sn3(Odd)=153

Sum of Cubes of First N Odd Numbers Formula Elements

Variables
Sum of Cubes of First N Odd Natural Numbers
Sum of Cubes of First N Odd Natural Numbers is the summation of cubes of the odd numbers starting from 1 to the nth odd number 2n-1.
Symbol: Sn3(Odd)
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Sum of Cubes of First N Odd Natural NumbersOpen Variable
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.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Value of NOpen Variable

Credits

Creator Image
Created by Nayana Phulphagar LinkedIn Logo
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has created this Formula and 300+ more formulas!
Verifier Image
Verified by Nikita Salampuria LinkedIn Logo
The National Institute of Engineering (NIE), Mysuru
Nikita Salampuria has verified this Formula and 600+ more formulas!

Other formulas in Sum of Cubes category

​Go Sum of Cubes of First N Natural Numbers
Sn3=(n⋅(n+1))24
​Go Sum of Cubes of First N Even Numbers
Sn3(Even)=2⋅(n⋅(n+1))2

How to Evaluate Sum of Cubes of First N Odd Numbers?

Sum of Cubes of First N Odd Numbers evaluator uses Sum of Cubes of First N Odd Natural Numbers = (Value of N)^2*(2*(Value of N)^2-1) to evaluate the Sum of Cubes of First N Odd Natural Numbers, The Sum of Cubes of First N Odd Numbers formula is defined as the summation of cubes of the odd natural numbers starting from 1 to the nth odd number 2n-1. Sum of Cubes of First N Odd Natural Numbers is denoted by Sn3(Odd) symbol.

How to evaluate Sum of Cubes of First N Odd Numbers using this online evaluator? To use this online evaluator for Sum of Cubes of First N Odd Numbers, enter Value of N (n) and hit the calculate button.

FAQs on Sum of Cubes of First N Odd Numbers

What is the formula to find Sum of Cubes of First N Odd Numbers?
The formula of Sum of Cubes of First N Odd Numbers is expressed as Sum of Cubes of First N Odd Natural Numbers = (Value of N)^2*(2*(Value of N)^2-1). Here is an example- 153 = (3)^2*(2*(3)^2-1).
How to calculate Sum of Cubes of First N Odd Numbers?
With Value of N (n) we can find Sum of Cubes of First N Odd Numbers using the formula - Sum of Cubes of First N Odd Natural Numbers = (Value of N)^2*(2*(Value of N)^2-1).
© 2024-2025. Developed & Maintained by softUsvista Inc.
Copied!