Sequences and Series

A sequence $u_1, u_2, u_3, \dots\,$ is defined by

\begin{aligned}u_1 &= 3 \\u_{n+1} &= (u_n - 3)^2 + 2, \quad n \geq 1\end{aligned}

a.

Find $u_2, u_3\,$ and $u_4$ .

[3]

b.

Write down the value of $u_{100}$ .

[1]

A sequence $u_1, u_2, u_3, \dots\,$ is defined by

\begin{aligned}u_1 &= 3 \\u_{n+1} &= (u_n - 3)^2 + 2, \quad n \geq 1\end{aligned}

a.

Find $u_2, u_3\,$ and $u_4$ .

[3]

b.

Write down the value of $u_{100}$ .

[1]

Sequences and Series Questions