Chapter 11.1, 11.2, 11.3. Ratti & McWaters, College Algebra and Trigonometry
and Precalculus: A Right Triangle Approac. 1) Write a general n a formula for. 2.
4.
Chapter 11 Test Form B Name Ratti & McWaters, College Algebra and Trigonometry and Precalculus: A Right Triangle Appro Chapter 11.1, 11.2, 11.3
192 194 196 198 , , , ,... 3! 9! 27! 81!
1)
Write a general an formula for
2)
Write the first five terms of the sequence an
3)
Given an
4)
For the arithmetic sequence 20, 35,50, 65,... , find an expression for an , calculate a80 , and calculate S80 .
4)
For the geometric sequence 3, 6,12, 24,... , find an expression for an , calculate a20 , and calculate S20 .
5)
5)
5an
1
21 and a1
5
6)
1
Find the sum
2k 1
n 4 3 5n
1) 1
n 1
.
2)
8 find a5 .
3)
3k 2 .
k
6)
k 2
7)
Determine the sum of 324
8)
During the first week of January, a coffee shop sells 700 coffees. In the next two weeks, it serves 900 and 1100 coffees, respectively. If this pattern continues, how many coffees will be sold during the last week of December? How many coffees will have been sold in the year?
8)
During a snow storm, 80 snowflakes fall in the first minute, 160 in the second minute, and 320 in the third minute. If this pattern continues, how many snowflakes will fall in the eighth minute of the storm? How many snowflakes will have fallen during the first eight minutes of the storm?
9)
9)
10)
216 144
96 ...
How much money would be in an account after 15 years if $500 is deposited in the account at the end of each quarter and the account pays 3.2%, compounded quarterly? Round your answer to the nearest dollar. 4
11)
Expand the binomial x 3 y .
12)
Find the term of 2 x
13)
A restaurant offers a dinner special with a choice of seven appetizers, five entrees, four desserts, and two drinks. How many different dinners could a customer have?
14)
3y
12
containing x8 .
How many distinguishable permutations would there be of the letters of the
7)
10) 11) 12)
13)
