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