Question

what is the sum of first 1 crore natural numbers?​

Answer 1

Solution:

Let S be the required sum.

Therefore,

S = 1 + 2 + 3 + 4 + 5 + ...... + 10000000

Clearly, it is an 'Arithmetic Progression' whose:

$\implies$ First term = 1

$\implies$ Last term = 10000000

$\implies$ Number of terms = 10000000

Therefore,

$\implies$ S = 10000000/2 (10000000 + 1)

Using this formula:

$\boxed{\sf{S = \frac{n}{2}(a + l)}}$

We get:

$\implies$ S = 5000000 (10000001)

$\implies$ S = 50,000,005,000,000

Therefore,

The sum of first 1 crore natural numbers is 50,000,005,000,000.

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Answered by: Niki Swar, Goa❤️

Answer 2

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