Latest Maths Olympiad Aptitude Question SOLUTION: Define a sequence hf0(x), f1(x), f2(x), . . .i of functions by f0(x) = 1, f1(x) = x, 􀀀 fn(x)
2 − 1 = fn+1(x)fn−1(x), for n  1. Prove that each fn(x) is a polynomial with i

• Placement Papers
• /
• Maths Olympiad

Maths Olympiad Question Papers:

(#M40022010) MATHS OLYMPIAD question ALGEBRA Keep an EYE

Define a sequence hf0(x), f1(x), f2(x), . . .i of functions by
f0(x) = 1, f1(x) = x,
􀀀
fn(x)

2
− 1 = fn+1(x)fn−1(x), for n  1.
Prove that each fn(x) is a polynomial with integer coefficients

Asked In Maths Olympiad MAN (10 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution