SOLUTION: Find the sum of sequence 35+36+37+38+...+128

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of sequence 35+36+37+38+...+128      Log On


   

Question 1092499: Find the sum of sequence
35+36+37+38+...+128
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Arithmetic progression with the first term 35 and the number of terms 128-35+1 = 94.


Apply the formula for the sum of arithmetic progression


S = %28%28a%5B1%5D%2Ba%5Bn%5D%29%2F2%29%2An = %28%2835%2B128%29%2F2%29%2A94 = 7661.

Solved.

There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.