SOLUTION: Simplify 1^2/2 + 3^2/6 + 5^2/10 + 7^2/14 + ... + 103^2/206

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Question 1149795: Simplify 1^2/2 + 3^2/6 + 5^2/10 + 7^2/14 + ... + 103^2/206
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1%5E2%2F2+%2B+3%5E2%2F6+%2B+5%5E2%2F10+%2B+7%5E2%2F14 + ... ++103%5E2%2F206 .........simplify

=1%5E2%2F2+%2B+3%5E2%2F%282%2A3%29+%2B+5%5E2%2F%282%2A5%29+%2B+7%5E2%2F%282%2A7%29 + ... + 103%5E2%2F%282%2A103%29

= + ... + 103%5Ecross%282%29%2F%282%2Across%28103%29%29
=1%2F2+%2B+3%2F2+%2B+5%2F2+%2B+7%2F2 + ... + 103%2F2+

=(1+%2B+3+%2B+5+%2B+7 + ... + 103+)/2

= 2704%2F2

= 1352