First of all , a series would be the sum of the terms of a sequence, you show
a sequence.
That is quite an obscure sequence, I had to resort to Wolfram to find a pattern, it showed it as
term(n) = 20/(5n+3)
http://www.wolframalpha.com/input/?i=pattern+%7B5%2F2,20%2F13,10%2F9,20%2F23,+...%7D
What methods have you learned that would let you find that ?
The nth term of the series
5/2,20/13,10/9,20/23.....
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