Tim Gan Math
All Years

2009 TYS

Question 1

Question

  1. The first three terms of a sequence are given by ${{u}_{1}}=10$, ${{u}_{2}}=6$, ${{u}_{3}}=5$. Given that ${{u}_{n}}$ is a quadratic polynomial in $n$, find ${{u}_{n}}$ in terms of $n$.

    [4]

  2. Find the set of values of $n$ for which ${{u}_{n}}$ is greater than $100$.

    [2]