SOLUTION: Find the sum of the series 101+99+97+....+47.

Question 1091469: Find the sum of the series 101+99+97+....+47.

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

This sequence is an arithmetic progression with the first term 101, the common difference -2 and the last term 47.



The number of terms is  = 28

    (in one more than the number of intervals of the length 2 between 101 and 47).



Now you can apply the formula for the sum of n terms of an AP:


 =  =  =  = 2072.

Solved.

On arithmetic progressions see the lessons 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".

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