Sequence questions

Q1. Let {bi} where i is a natural number, be a sequence of real numbers, if b(p+q) = bp + bq – pq and b8 = 100, then what is the value of b15 ?
a. 135
b. 130
c. 180
d. 175
e. 160

Q2. a sequence  is defined by following two functions
b1 = 2 and
bn+1 = (1 + bn) /(1- bn) for n >= 1
What is the value of  b2006 ?
(a) 2007
(b) 3
(c) 1/2
(d) 2
(e) 3

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n/a

b8 = 100 so b16 = 136 and b4

b8 = 100
so b16 = 136 and b4 = 58
and b2 = 31 , b1 = 16
we know b 16 = b1 + b15 – 15
=> b 15 = 135

here

here b1=2

b2=-3
b3=-1/2
b4=1/3
b5=2
b6=-3
b7=-1/2
b8=1/3
b9=2

so     b2006=-3

Little Star


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n/a

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