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Sum of First N Natural Numbers Formula

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

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

S_n - Sum of First N Natural Numbers?n - Value of N?

Sum of First N Natural Numbers Example

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With units

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

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

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

6 = \frac{3 \cdot (3 + 1)}{2}

6 = \frac{3 \cdot (3 + 1)}{2}

6 = \frac{3 \cdot (3 + 1)}{2}

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Sum of First N Natural Numbers Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S n = \frac{3 \cdot (3 + 1)}{2}

Next Step Prepare to Evaluate

∴

S n = \frac{3 \cdot (3 + 1)}{2}

LAST Step Evaluate

∴

S n = 6

Sum of First N Natural Numbers Formula Elements

Variables

Sum of First N Natural Numbers

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

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sum 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 Terms category

Go Sum of First N Odd Natural Numbers

S n(Odd) = n^{2}

Go Sum of First N Even Natural Numbers

S n(Even) = n \cdot (n + 1)

How to Evaluate Sum of First N Natural Numbers?

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

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

FAQs on Sum of First N Natural Numbers

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

The formula of Sum of First N Natural Numbers is expressed as Sum of First N Natural Numbers = (Value of N*(Value of N+1))/2. Here is an example- 6 = (3*(3+1))/2.

How to calculate Sum of First N Natural Numbers?

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

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