SOLUTION: Find the sum of first 35 terms o. find the number of all interger between 100&800 each of which on division by 16 leaves the remainder 7.

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Question 1032225: Find the sum of first 35 terms o.
find the number of all interger between 100&800 each of which on division by 16 leaves the remainder 7.
Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.
find the number of all integer between 100 and 800 each of which on division by 16 leaves the remainder 7.
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It is the same as the number of segments of the length 16 of consecutive integer numbers between 97 and 800, inclusively.


Which is, in turn, %28800-96%29%2F16 = 44.


Each such a segments contains exactly one such a number.