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Write the sum of 100 natural …

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Write the sum of 100 natural numbers

Posted by Kunal Yadav 5 years, 8 months ago

CBSE > Class 10 > Mathematics

4 answers

☮?Amiable Buddy?☮ 5 years, 8 months ago

[tex]\displaystyle{\frac{can\: latex\: be}{applied\: here?}}[/tex]

Yogita Ingle 5 years, 8 months ago

Therefore, S = 1 + 2 + 3 + 4 + 5 + .................... + 100

Clearly, it is an Arithmetic Progression whose first term = 1, last term = 100 and number of terms = 100.

Therefore, S = {tex}\frac{100}{2} {/tex}(100 + 1)

= 50(101)

= 5050

Therefore, the sum of first 100 natural numbers is 5050.

☮?Amiable Buddy?☮ 5 years, 8 months ago

5050*

☮?Amiable Buddy?☮ 5 years, 8 months ago

505

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