SOLUTION: 2+4+6+8+...+102

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Question 1107315: 2+4+6+8+...+102
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2+4+6+8+...+102
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Looks like even numbers from 2 to 102.
Do you have a question?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Each term before summing is 2%2B%28n-1%29%2A2.

Index of the last term can be found:
2%2B2%28n-1%29=102
2%2B2n-2=102
2n=102
n=51

You want the sum of those fifty-one terms?
Lookup the formula for that.

%282%2B102%29%2851%2F2%29--------compute this.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
On arithmetic progressions, see these introductory lessons in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions


* * * * * After reading these lessons, you will be able easily solve problems like this one. * * * * *


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.