NAME

3-5

DATE

PERIOD

Word Problem Practice Arithmetic Sequences as Linear Functions

1. POSTAGE The price to send a large envelope first class mail is 88 cents for the first ounce and 17 cents for each additional ounce. The table below shows the cost for weights up to 5 ounces. Weight (ounces)

1

2

3

4

5

Postage (dollars)

0.88

1.05

1.22

1.39

1.56

4. NUMBER THEORY One of the most famous sequences in mathematics is the Fibonacci sequence. It is named after Leonardo de Pisa (1170–1250) or Filius Bonacci, alias Leonardo Fibonacci. The first several numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, . . . Does this represent an arithmetic sequence? Why or why not?

Source: United States Postal Servcie

How much did a large envelope weigh that cost $2.07 to send? 5. SAVINGS Inga’s grandfather decides to start a fund for her college education. He makes an initial contribution of $3000 and each month deposits an additional $500. After one month he will have contributed $3500.

2. SPORTS Wanda is the manager for the soccer team. One of her duties is to hand out cups of water at practice. Each cup of water is 4 ounces. She begins practice with a 128-ounce cooler of water. How much water is remaining after she hands out the 14th cup?

a. Write an equation for the nth term of the sequence.

3. THEATER A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?

Chapter 3

34

Glencoe Algebra 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

b. How much money will Inga’s grandfather have contributed after 24 months?

3-5 Arithmetic Sequence Word Problems.pdf

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