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Question

If bn+1=11bn for n1 and b1=b3, then 2001r=1br is equal to

A
2001
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B
2001
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C
0
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D
None of these
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Solution

The correct option is A 2001
b2=11b1
b3=11b2
Given b3=b1
b3=b1=11b2
b1=1111b1=1b11b11
b21=b11
b21b1+1=0
we know x3+1=(x+1)(x2x+1)
b1 is a cube root of 1 and the power to which br is raised to is 2001 which is divisible by 3.
b2=11b1=1b21=b1b31=b1

all the terms of the summation =1
Hence the total sum =2001

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