If a1 =1and an+1 – 3an +2 = 4n for every positive integer n, then a100 equals [CAT 2005]
399 – 200
399 + 200
3100 – 200
3100 + 200
Answer: (3) 3100 – 200
Question 2
f(x+2) = f(x) + f(x+1) for all positive integers x, and f(11) = 91, f(15) = 617, then f(10) equals [CAT 2018 Shift 1]
Answer: 54
Question 3
For all non-negative integers x and y, f(x, y) is defined as below f(0,y) = y + 1 f(x + 1, 0) = f(x, 1) ff(x + 1, y + 1) = f(x,f(x + 1, y))
Then, what is the value of f(1, 2)? [CAT 2000]
Two
Four
Three
Cannot be determined
Answer: (2) Four
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