Find the sum of all those integers between 100 and 800

Question:

Find the sum of all those integers between 100 and 800 each of which on division by 16 leaves the remainder 7.

Solution:

The sum of all those integers between 100 and 800 each of which on division by 16 leaves the remainder 7 are:

103, 119...791

Here, we have:

= 103

d = 16

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