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What is the sum of all numbers between 100 and 500 that are divisible by 7?

Competition practiceNumber System, HCF & LCM

A16,660
B17,654
C17,157
D16,758

Step-by-Step Solution

Terms 105, 112, …, 497:

n = \frac{497 - 105}{7} + 1 = 57

. Sum

= \frac{57}{2} (105 + 497) = 57 \times 301 = 17157

.

Answer: C) 17,157

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