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Q.

If 1+1-22·1+1-42·3+1-62·5+……+1-202·19=α-220β, then an ordered pair (α,β)is equal to:

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a

(10, 103)

b

(11, 97)

c

(10, 97)

d

(11, 103)

answer is D.

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Detailed Solution

S=1+∑s=1101-(2r)2(2r-1)=1+10-∑r=1108r3-4r2=11-810×1122-410×11×216=11-220(103)⇒α=11,β=103
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