35. Let f be a real-valued function defined on a set of integers and satisfying f(x)=1/2 f(x-1) + 1/2 f(x+1). Which of the following must be true?
I. The graph of f is a subset of a line.
II. f is strictly increasing.
III. f is a constant function.
B. I only
C. II only
D. I and II
E. I and III
we can choose x_1=1 so x_1=1^1 so I is correct , is it ?
Nameless wrote:#problem 66 - GR9367 :
let n be any positive integer and 1<= x1<x2<....<x_(n+1)<=2n where x_i is an integer the which of following must be true :
I. there is x_i st : x_i is the square of integer
II. there is x_i st : x_(i+1)=x_i + 1
III. There is x_i that is prime
a. I only
b. II only
c. I , II
d. I, III
e. II, III
The answer is II...
miguel wrote:For the problem on sequences, just consider when n=1. You'll soon see that II is the only true statement.
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