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Question

If 12+14+18+116+...=x and 13+19+127+181+...=y, then

A
x=y
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B
2x+4y=4
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C
x2=y
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D
x+y=0
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Solution

The correct option is D 2x+4y=4
Sum of infinite series is S=a/(1r)
So x=1/21/(11/2)=1
x=1
y=1/31/(11/3)=1/2
y=1/2
2x+4y=4 is the only appropriate option

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