1.
Given a1= 5 and an= an-1 + 4, find the explicit formula.

Choose:
 an = n + 4 an = 4n + 1 an = 4n - 1 an = 4n + 4

2.
Given an= 3n - 2, find the 19th term.

Choose:
 20 36 55 59

3.
Given the sequence: {5, 7, 9, 11, ...}

a) Which explicit formula generates this sequence?
Choose:
 f (n) = 3n + 2 f (n) = 2n + 3 f (n) = 2n - 3 f (n) = 3n - 2

b)
Which recursive formula generates this sequence?

Choose:
 f (1) = 5;    f (n) = f (n + 1) + 2 f (1) = 5;    f (n) = f (n - 1) + 4 f (1) = 5;    f (n) = f (n + 1) + 4 f (1) = 5;    f (n) = f (n - 1) + 2

c)
What is the 11th term of the sequence?

Choose:
 21 23 25 27

4.
There are 80 fish in a Koi pond. Each year the population decreases by 25%. Which explicit formula generates a sequence of fish in the pond each year?

Choose:
 f (n) = 80• (¼)n-1 f (n) = 80• (¾)n-1 f (n) = 80 + (¼)(n - 1) f (n) = 80 + (¾)(n - 1)

5.
The first four terms of a sequence are:
8, 24, 72, 216, ...
Write a recursive function for this sequence.
Choose:
 a1= 8 and an= an-1 + 3n a1= 8 and an= an-1 • 3n a1= 8 and an= an-1 • 3 a1= 8 and an= an-1 + 3

6.
A private school purchases \$26,400 of new computer equipment. For tax purposes, the school estimates that the equipment decreases in value by the same amount, \$3050, each year. Which explicit function can be used to find the estimated value of the computer equipment?

Choose:
 f (n) = 26400 - 3050(n - 1) f (n) = 26400 + 3050(n - 1) f (n) = 26400 - 3050(n + 1) f (n) = 26400 + 3050(n + 1)

7.
Given the sequence:
a)
Which explicit formula generates this sequence?

Choose:

b)
Which recursive formula generates this sequence?

Choose:
 f (1) = 1;    f (n) =• f (n + 1) f (1) = 1;    f (n) = • f (n - 1) f (1) = 1;    f (n) = f (n + 1) + f (1) = 1;    f (n) = f (n - 1) +

c)
What is the 5th term of the sequence?

Choose:
 6 9