SOLUTION: What is the sum of all of the integers between 52 and 122 (square roots) ??

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Question 979914: What is the sum of all of the integers between 52 and 122 (square roots) ??
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!

If you want to calculate the sum of all integers from  52  to  122

52 + 53 + . . . + 122,

then note that it is the sum of terms of an arithmetic progression.

The first term of this progression is  52,  the common difference is  1,  and the number of terms is  122 - 51 = 71.

So,  you can apply the formula for the sum of arithmetic progression  (see,  for example,  the lesson  Arithmetic progressions  in this site)

S = %28%28a%5B1%5D+%2B+a%5Bn%5D%29%2An%29%2F2 = %2852+%2B+122%29%2A71%2F2 = 6177.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

What is the sum of all of the integers between 52 and 122 (square roots) ??
Sum of all integers between 52 and 122: highlight_green%286003%29