3.3.1 Sequences and series (A-level only)

A sequence $a1,a2,a3,…a_1, a_2, a_3, \dots$ is defined by

a_{n+1} = 6 - a_n

where $a_1 = 2$ .

Find the value of

a.

(i) $a_2$

(ii) $a_{85}$

[3]

b.

$∑n=1100(3an+2)\sum_{n=1}^{100} (3a_n + 2)$

[3]

A sequence $a1,a2,a3,…a_1, a_2, a_3, \dots$ is defined by

a_{n+1} = 6 - a_n

where $a_1 = 2$ .

Find the value of

a.

(i) $a_2$

(ii) $a_{85}$

[3]

b.

$∑n=1100(3an+2)\sum_{n=1}^{100} (3a_n + 2)$

[3]

3.3.1 Sequences and series (A-level only) Questions