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Question

Mathematics Question on Arithmetic Progression

3, 8, 13, ......,373 are in arithmetic series. The sum of numbers not divisible by three is

A

9310

B

8340

C

9525

D

7325

Answer

9525

Explanation

Solution

The correct option is (C): 9525
= 3 + 8 + 13 + 18 + ….. 373
=752[3+373]=14100=\frac{75}{2}[3+373]=14100
Now , 3+18+25 terms\underbrace{3 + 18 + \ldots}_{25 \text{ terms}}
=252[6+24.15]=4575=\frac{25}{2}[6+24.15]=4575
\therefore Required sum = 14100 - 4575 = 9525