Page 724 - Algebra 1

Practice
Distributed and Integrated
f.
(Ex 3)
g.
(Ex 3)
h.
(Ex 3)
i.
( (Ex 2) )
j.
(Ex 3)
The first term of a geometric sequence is -3 and the common ratio is 4. Find the 6th term in the sequence.
Find the 7th term in the geome_tric seq_uence.
_1 _1 _1
1
-2, 8, -32, 128, -512, ...
1 Find the 8th term in the geometric sequence.
4_1 , -8_1 , 17, -34, ... 42
Find the 6th term of the geometric sequence 40, 32, 25.6, ....
_9 _1
A fish tank is 10 full. Every minute, 3 of the water leaks out of the tank.
After 5 minutes, how full is the tank?
*1. Find the common ratio of the geometric sequence -80, 20, -5, 1_1 , .... (105) 4
*2. Multiple Choice Which rule can you use to find the nth term of the sequence (105) 4, 6, 9, 13.5, ...?
A A(n) = 4(1.5)n B A(n) = 4(1.5)n-1 C A(n) = 4(2)n-1 D A(n) = 3(1.5)n
*3. Depreciation Harper buys a car in 2007 for $20,000. Each year, the car decreases (105) in value by 18%. How much will the car be worth in 2012? Round to the
nearest cent.
*4. Write The third term of a sequence is 0. The first two terms are not 0. Can this
(105) be a geometric sequence? Explain.
5. Write a recursive formula for the arithmetic sequence with a1 = _1 and common
(34) difference d = _1 . Then find the first four terms of the sequence. 2 2
*6. Analyze Write two possible rules for the nth term of the geometric sequence with a (105) first term of 5 and a third term of 605.
7. Find the missing term of the perfect-square trinomial: x2 + 18x + ____. (104)
8. Error Analysis Dominic stated that the missing value for completing the square of (104) g2 + 28g + is 14. Is this correct? Explain.
*9. Multi-Step A design for a rectangular flower bed is shown. (104) The total area of the flower bed is 880 square feet.
a. Write an equation to represent the problem.
b. Write the quadratic equation in the form x2 + bx = c. c. What is the width of the interior of the flower bed? d. What is the area of the border?
x
2x
2
2
2 2
Lesson 105 709