Q.

The sum of the infinite series 1+1+1213+1+12+122132+.....∞ is

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a

125

b

95

c

85

d

53

answer is B.

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Detailed Solution

let S = 1+1+1213+.....⇒1−12S=1−12+1−12213+1−123132+.........                      = 1+13+132+......∞−121+16+162+.....=910⇒S=95
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