Option A
Sum of whole numbers from 1 to 10 is 55
<h3><u>Solution:</u></h3>
Given that,
The formula for finding the sum of the whole numbers from 1 to any whole number, n is given as:
![sum = \frac{n(n+1)}{2}](https://tex.z-dn.net/?f=sum%20%3D%20%5Cfrac%7Bn%28n%2B1%29%7D%7B2%7D)
To find: sum of the whole numbers from 1 to 10
Whole numbers are positive numbers, including zero, without any decimal or fractional parts.
<em><u>The whole numbers are:</u></em>
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, ......}
So sum of whole numbers from 1 to 10 means we have to add whole numbers from 1 to 10
<em><u>Finding sum of whole numbers from 1 to 10:</u></em>
Given formula is:
![sum = \frac{n(n+1)}{2}](https://tex.z-dn.net/?f=sum%20%3D%20%5Cfrac%7Bn%28n%2B1%29%7D%7B2%7D)
Here n = 10
![sum = \frac{10(10 + 1)}{2}\\\\sum = \frac{10 \times 11}{2}\\\\sum = 5 \times 11 = 55](https://tex.z-dn.net/?f=sum%20%3D%20%5Cfrac%7B10%2810%20%2B%201%29%7D%7B2%7D%5C%5C%5C%5Csum%20%3D%20%5Cfrac%7B10%20%5Ctimes%2011%7D%7B2%7D%5C%5C%5C%5Csum%20%3D%205%20%5Ctimes%2011%20%3D%2055)
Thus sum of whole numbers from 1 to 10 is 55