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CAT 2025 Lesson : Functions - Past Questions
5. Past Questions
Question 1
If a1 =1and an+1 – 3an +2 = 4n for every positive integer n, then a100 equals
[CAT 2005]
[CAT 2005]
| 399 – 200 | ||
| 399 + 200 | ||
| 3100 – 200 | ||
| 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
[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]
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 |
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