The sum of all the natural numbers from 51 to 100 is Options: A . &nbsp4025 B . &nbsp5050 C . &nbsp4275 D . &nbsp3775

The sum of all the natural numbers from 51 to 100 is

Question

The sum of all the natural numbers from 51 to 100 is

Options:

A . 4025

B . 5050

C . 4275

D . 3775

Answer: Option D
Answer: (d)We have, 1 + 2 + 3 ........ + n = ${n(n+1)}/2$51 + 52 + ..... + 100 = (1 + 2 + ....... 100) – (1 + 2 + ... + 50) = ${100×101}/2 - {50×51}/2$= 5050 – 1275 = 3775

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