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Question

Find the sum of all integers between 50 and 500 which are divisible by 7.

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Solution

The integers between 50 and 500 that are divisible by 7 are:
56, 63...497
Here, we have:
a = 56d =7 an = 49756+(n-1)7=4977n-7=4417n=448n=64 Sn = n22a+(n-1)d S64 = 6422×56+(64-1)7 S64 = 322×56+63×7 = 17696

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