SOLUTION: What is the series with summation notation of the following fractions: {{{1/4+2/7+3/10+4/13}}} thank you so much!

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Question 335387: What is the series with summation notation of the following fractions: 1%2F4%2B2%2F7%2B3%2F10%2B4%2F13 thank you so much!
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


1%2F4%2B2%2F7%2B3%2F10%2B4%2F13

The numerators are 

1, 2, 3, 4

the denominators are

3*1+1 = 4, 3*2+1 = 9, 3*3+1 = 10, 3*4+1 = 12

So the sum is

sum%28k%2F%283%2Ak%2B1%29%2C+k=1%2C+4%29

or you can use any letter you like for the index,
or "dummy" variable,

sum%28n%2F%283%2An%2B1%29%2C+n=1%2C+4%29 or sum%28i%2F%283%2Ai%2B1%29%2C+i=1%2C+4%29, etc.

Edwin