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Sum of the First N Whole Numbers Calculator

🔁 Sequences & series. Use the Sum of the first n whole numbers formula to find sum, n: pick the value you want, type the others, and the answer updates as you go.

1+2+⋯+n=n(n+1)21 + 2 + \dots + n = \dfrac{n(n + 1)}{2}
Sum5050

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Sumno unit
nno unit

Worked example

Find the sum when n = 100.

Using 1 + 2 + … + n = (n(n + 1))/2: Sum = 5050.

Frequently asked questions

What is the formula for Sum of the first n whole numbers?

1 + 2 + … + n = (n(n + 1))/2.

What do the letters stand for, and what units are used?

Sum, n.

How do you calculate sum?

Put the values into 1 + 2 + … + n = (n(n + 1))/2. For example, with n = 100, sum = 5050.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (sum, n) and fill in the others: it rearranges the formula for you.

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