Sequences and Series Worded Problems - Questions

Name_______________________________________________Date___________Period______A#_D-4_
Arithmetic and Geometric Sequences and Series: Applications
For each of the problems below:
A. Identify whether the pattern is arithmetic or geometric.
B. Determine if you need to calculate a term in a sequence or the value of a series.
C. Solve the problem.
1. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and
so on and has 30 rows of seats. How many seats are in the theatre?
2. Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after
ring of hexagonal cells around the initial cell, as shown. The numbers of cells in successive rings form an
arithmetic sequence.
a. Write a rule for the number of cells in the nth ring.
b. What is the total number of cells in the honeycomb after
the 9th ring is formed? (Hint: Do not forget to count the
initial cell.)
3. Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second
day, 4 cents on the third day and so on. If the daily wage keeps doubling, what will your total income be
for working 31 days?
4. The first year a toy manufacturer introduces a new toy, its sales total \$495,000. The company expects
its sales to drop 10% each succeeding year. Find the total expected sales in the first 6 years.