JEE Mains · Maths · STD 11 - 8. sequence and series
The sum of all those terms, of the anithmetic progression \(3,8,13, \ldots \ldots .373\), which are not divisible by \(3\),is equal to \(.......\).
- A \(9524\)
- B \(9523\)
- C \(9522\)
- D \(9525\)
Answer & Solution
Correct Answer
(D) \(9525\)
Step-by-step Solution
Detailed explanation
\(\text { Required sum }=(3+8+13+18+\ldots \ldots \ldots+373)\) \(-(3+18+33+\ldots \ldots+363)\) \(=\frac{75}{2}(3+373)-\frac{25}{2}(3-363)\) \(=75 \times 188-25 \times 183\) \(=9525\)
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