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Q.

If aii=1nwhere n is an even integer , is an arithmetic progression with common difference 1,and   i=1nai=192,i=1n/2a2i=120 then n is equal to:

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a

96

b

48

c

92

d

104

answer is B.

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Detailed Solution

i=1nai=n22a1+(n-1)=1922a1+(n1)=384n(1)i=1n/2a2i=n42a1+2+n212=1202a1+n=480n(2)
From equation (2) and (1)
1=480n384nn=480384=96

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