Sequences and Series

The terms, $u_n$ , of a periodic sequence are defined by

u_1 = 5 \quad \text{and} \quad u_{n+1} = \frac{10}{u_n}

a.

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

[2]

b.

State the period of the sequence.

[1]

c.

Find the value of $∑n=151un\sum_{n=1}^{51} u_n$ .

[3]

The terms, $u_n$ , of a periodic sequence are defined by

u_1 = 5 \quad \text{and} \quad u_{n+1} = \frac{10}{u_n}

a.

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

[2]

b.

State the period of the sequence.

[1]

c.

Find the value of $∑n=151un\sum_{n=1}^{51} u_n$ .

[3]

Sequences and Series Questions