The given terms of the series
are:
1/2, 1/4, 1/6, 1/8, 1/10 1/12, 1/14, 1/16
...
Thus
Term number 1 = 1/2 =
1/(1*2)
Term number 2 = 1/4
1/(2*2)
Term number 3 = 1/6 =
1/(3*2)
Term number 4 = 1/8 =
1/(4*2)
Term number 5 = 1/10 =
1/(5*2)
Term number 6 = 1/12 =
1/(6*2)
Term number 7 = 1/14 =
1/(7*2)
Term number 8 = 1/16 =
1/(8*2)
Term number n =
1/(n*2)
Answer:
nth term =
1/(n*2)
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