Question

the sum of the series 1/2+1/3+1/6+.......upto 9 terms is = ?

Answer 1

Hlo mate :-

Solution :-

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Let 

Sn = 1/2 + 1/3 + 1/6 ...............  an

This is an A.P. with

 a (first term) = 1/2

and d (common difference)
= a2 - a1
=  -1/6

:- therefore

Sn = n/2 [2a + (n-1)d]

Sn = 9/2 [1/2 + ( 9-1)(-1/6 )] 

Sn = 9/2 [1/2 - 8/6]

Sn = 9/2 [(3-8)/6]

Sn = 9/2 (-5/6)

Sn = -15 / 4

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Answer 2

Answer:

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