Chapter 9 Review: Sequences and Series
Determine the common difference, and find the
next four terms of the arithmetic sequence.
1. -1.1, 0.6, 2.3, …
Find the indicated sum of each geometric series
10. first eight terms of – 3/4 + −9/20 + −27/100 + …
11.
Determine the common ratio and find the next
three terms of the geometric sequence.
2.
-4, -3, -9/4, …
Find an explicit formula for the nth term of each
arithmetic sequence.
3. 9, 13, 17, …
Write an explicit formula for the nth term of the
geometric sequence.
4. 2, 10, 50, …
Find the specified value for the arithmetic
sequence with the given characteristics.
5. If a1 = -27 and d = 3, find a24 .
Find the specified term for the geometric
sequence with the given characteristics.
6. a5 for 20, 2, 0.2, …
Find the indicated sum of each arithmetic series
7. S13 of -5 + 1 + 7 + … + 67 if a13 = -67
If possible, find the sum of each infinite
geometric series.
12. 10 + 5 + 2.5 + …
13.
Application.
14. DESIGN Wakefield Auditorium has 26 rows.
The first row has 22 seats. The number of
seats in each row increases by 4 as you move
to the back of the auditorium.
a. How many seats are in the last row?
b. What is the total seating capacity?
15. WORK The first-year salary of an employee is
$34,500. Each year thereafter, her annual
salary increases by $750.
a. What will her salary be her 10th year?
b. What will her total earnings be for 25 years?
16. POPULATION A city is growing at a rate of
5.2% per year. The first year of a census finds
the population at 100,000 people. Assuming
this growth rate remains constant, estimate the
population in the fifth year of the census.
Equations:
an = a1 + (n – 1)d
8.
62nd partial sum of -23 + (-21.5) + (-20) + …
Sn
9.
an = a1 r n – 1
n
2
a1
an
ai
Find the sum
i 1
Sn
a1
1 r
1 rn
a1
1 r