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

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) (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)

= = = 6177.

Answer by MathTherapy(10551) (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:
RELATED QUESTIONS
what is the sum of all numbers between 1 and... (answered by MathLover1)
What is the sum of all the integers between the square root of 19 and... (answered by greenestamps)
What is the sum of all the integers between the square root of 19 and the square root of... (answered by tommyt3rd)
The sum of four consecutive integers is 122. What are the... (answered by Alan3354)
The sum of two consecutive even integers is... (answered by Alan3354)
what is the sum of the integers between square root 15 and square root... (answered by ikleyn)
The scores received by students completing a geology exam are normally distributed. If... (answered by Fombitz)
What is the sum of all the integers between 40 and 440 which end in... (answered by greenestamps)
What is the sum of all consecutive odd integers between 1 and... (answered by Earlsdon)