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Question

The sum of the infinite series 1+23+732+1233+1734+2235+ is equal to :

A
94
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B
154
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C
134
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D
114
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Solution

The correct option is C 134
S=1+23+732+1233+1734+2235+ (i)
S3= 13+232+733+ (ii)

From (i)(ii), we get
2S3=1+13+532+533+
2S3=43+53⎜ ⎜ ⎜1/3113⎟ ⎟ ⎟=43+56=136
S=134

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