Question

how sum of first 100 natural no. is 5050 (Give formula)​

Answer 1

Answer:

• The sum of the first 100 natural numbers is 5050.

Step-by-step explanation:

Formula used:

• $S_{100} = \frac{n}{2} [2a+(n-1)d]$

Solution:

• We have to find sum of the first 100 natural numbers.

Therefore, the natural numbers are 1,2,3,4,5...100.

Now, if we see they form an A.P. with first term (a) 1 and common difference (d) 1 and number of terms (n)  100.

Now using the formula of the sum given below:

$S_{100} = \frac{n}{2} [2a+(n-1)d]$

Substituting the values, we get:

$S_{100} = \frac{100}{2} [2*1+(100-1)*1]$

$S_{100} = 50 [2+99]$

$S_{100}=50*101$

$S_{100} = 5050$

∴ The sum of the first 100 natural numbers is 5050.

Hope it helps you!!(●'◡'●)

Answer 2

Answer:

Step-by-step explanation:

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