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Sum of Cubes of First N Natural Numbers Formula

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Sum of Cubes of First N Natural Numbers is the summation of cubes of the natural numbers starting from 1 to the nth natural number n. Check FAQs

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

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

Sum of Cubes of First N Natural Numbers Example

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

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

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

36 = \frac{{(3 \cdot (3 + 1))}^{2}}{4}

36 = \frac{{(3 \cdot (3 + 1))}^{2}}{4}

36 = \frac{{(3 \cdot (3 + 1))}^{2}}{4}

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Sum of Cubes of First N Natural Numbers Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S n3 = \frac{{(3 \cdot (3 + 1))}^{2}}{4}

Next Step Prepare to Evaluate

∴

S n3 = \frac{{(3 \cdot (3 + 1))}^{2}}{4}

LAST Step Evaluate

∴

S n3 = 36

Sum of Cubes of First N Natural Numbers Formula Elements

Variables

Sum of Cubes of First N Natural Numbers

Sum of Cubes of First N Natural Numbers is the summation of cubes of the natural numbers starting from 1 to the nth natural number n.

Symbol: S_n3

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sum of Cubes of First N 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 Even Numbers

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

Go Sum of Cubes of First N Odd Numbers

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

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

Sum of Cubes of First N Natural Numbers evaluator uses Sum of Cubes of First N Natural Numbers = ((Value of N*(Value of N+1))^2)/4 to evaluate the Sum of Cubes of First N Natural Numbers, Sum of Cubes of First N Natural Numbers formula is defined as the summation of cubes of the natural numbers starting from 1 to the nth natural number. Sum of Cubes of First N Natural Numbers is denoted by S_n3 symbol.

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

FAQs on Sum of Cubes of First N Natural Numbers

What is the formula to find Sum of Cubes of First N Natural Numbers?

The formula of Sum of Cubes of First N Natural Numbers is expressed as Sum of Cubes of First N Natural Numbers = ((Value of N*(Value of N+1))^2)/4. Here is an example- 36 = ((3*(3+1))^2)/4.

How to calculate Sum of Cubes of First N Natural Numbers?

With Value of N (n) we can find Sum of Cubes of First N Natural Numbers using the formula - Sum of Cubes of First N Natural Numbers = ((Value of N*(Value of N+1))^2)/4.

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