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Sum of Cubes of First N Odd Numbers Formula

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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

S n3(Odd) = {(n)}^{2} \cdot (2 \cdot {(n)}^{2} - 1)

S_n3(Odd) - Sum of Cubes of First N Odd Natural Numbers?n - Value of N?

Sum of Cubes of First N Odd Numbers Example

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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.

153 = {(3)}^{2} \cdot (2 \cdot {(3)}^{2} - 1)

153 = {(3)}^{2} \cdot (2 \cdot {(3)}^{2} - 1)

153 = {(3)}^{2} \cdot (2 \cdot {(3)}^{2} - 1)

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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

S n3(Odd) = {(n)}^{2} \cdot (2 \cdot {(n)}^{2} - 1)

Next Step Substitute values of Variables

∴

S n3(Odd) = {(3)}^{2} \cdot (2 \cdot {(3)}^{2} - 1)

Next Step Prepare to Evaluate

∴

S n3(Odd) = {(3)}^{2} \cdot (2 \cdot {(3)}^{2} - 1)

LAST Step Evaluate

∴

S n3(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: S_n3(Odd)

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Cubes of First N Odd Natural Numbers

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 N

Other formulas in Sum of Cubes category

Go Sum of Cubes of First N Natural Numbers

S n3 = \frac{{(n \cdot (n + 1))}^{2}}{4}

Go Sum of Cubes of First N Even Numbers

S n3(Even) = 2 \cdot {(n \cdot (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 S_n3(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).

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