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Let a1 = p and b1 = q, where p and q are positive quantities.
Define:
an = pbn-1 , bn = qbn-1 , for even n > 1
an = pan-1 , bn = qan-1 , for odd n > 1.[1] Which of the following best describes an +bn ?
1). q(pq)(n/2 - 1) (p+q)n/2
2). q(pq)(n/2 - 1) (p+q)
3). q p(n/2 - 1) (p+q)
4). qn/2 (p+q)
5). qn/2 (p+q)n/2[2] If p = 1/3 and q = 2/3, then what is the smallest odd n such that an + bn < 0.01?
(1) 7
(2) 13
(3) 11
(4) 9
(5) 15asked in CAT
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