perplexus.info :: Just Math : Recurrent n's

Recurrent n's (Posted on 2024-06-02)

Let f₀(x)= x/(3x+2)
and, f_n(x)= f₀(f_n-1(x)), n≥1

Given that
f₂₀₁₈(x)= x/(Ax+B)
Determine the value of 3B-A

Note: Adapted from a problem appearing in Round 1 of Singapore Mathematical Olympiad Open 2018.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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