Question

what is the sum of first 99 natural numbers​

Answer 1

Answer:

The number series 1, 2, 3, 4, . . . . , 98, 99. Therefore, 4950 is the sum of positive integers upto 99...

Answer 2

The sum of first 99 natural numbers = 4950

Given :

The first 99 natural numbers

To find :

The sum of first 99 natural numbers

Formula :

Sum of the first n natural numbers :

$\displaystyle \: 1 + 2 + 3 + .... + n = \frac{n(n + 1)}{2}$

Solution :

Step 1 of 2 :

Write down first 99 natural numbers

First 99 natural numbers are 1 , 2 , 3 , 4 , . . . , 99

Step 2 of 2 :

Calculate sum of first 99 natural numbers

Sum of first 99 natural numbers

$\displaystyle \: = 1 + 2 + 3 + .... + 99$

$\displaystyle \sf = \frac{99 \times (99 + 1)}{2}$

$\displaystyle \sf = \frac{99 \times 100}{2}$

$\displaystyle \sf{ = 99 \times 50 }$

$\displaystyle \sf = 4950$

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