For each of the following sequences

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

For each of the following sequences, write down an expression for

s_n

and find

s_5

. (1) (a)

3,11,19,27,\ldots

(2) (b)

42,37,32,27,\ldots

(3) (c)

12,6,3,\frac32,\ldots

(4) (d)

2,3,\frac92,\frac{27}{4},\ldots

(5) (e)

1,\frac12,\frac14,\frac18,\ldots

(6) (f)

1,8,27,64,\ldots