Section 12.1

Sequences

OBJECTIVE 1

2

2 1n

na

n

1 2n

nb n

2 if is even

if is oddn

n nc

n n

1 1 1 1(a) , , , ,

2 4 8 16

(b) 5, 7, 9, 11,

(c) 1, 1, 1, 1,

(d) 3, 6, 11, 18, 27,

OBJECTIVE 2

Write down the first five terms of the following recursively defined sequence.

1 15, 2n nS S S

Write down the first five terms of the following recursively defined sequence.

OBJECTIVE 3

2

1 0

Write out each sum.

(a) (b) 11

n n

k k

kk

k

2 2 2 2 21 1 1 1 1

(a) 1 2 3 4 5

(b) 1 3 5 2 1n

OBJECTIVE 4

10 42

1 1

20 122 3

1 k=5

Find the sum of each sequence.

(a) (b) 5 1

(c) 5 2 (d) 3

k k

k

k k k

k k k

OBJECTIVE 5