The sum of all natural numbers from 75 to 97 is -

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Question

The sum of all natural numbers from 75 to 97 is -

Options:

A . 1598

B . 1798

C . 1958

D . 1978

Answer: Option D
The sum of all natural numbers upto 97 - sum of all natural numbers upto 74
sum of n natural numbers
$$\eqalign{
& = \frac{{n\left( {n + 1} \right)}}{2}\,\,\left( {{\text{Formula}}} \right) \cr
& = \frac{{97 \times 98}}{2} - \frac{{74 \times 75}}{2} \cr
& = 4753 - 2775 \cr
& = 1978 \cr} $$

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