Page 229 - Algebra 1

Example
4
Application: Seating for a Reception
The first table at a reception will seat 9 guests while each additional table will seat 6 more guests.
a. Write a rule to model the situation.
SOLUTION a1 =9andd=6.Theruleisan =9+(n-1)6.
b. Use the rule to find how many guests can be seated with 10 tables. SOLUTION
an = 9 + (n - 1)6
a10 = 9 + (10 - 1)6
a10 = 63
63 guests can be seated with 10 tables.
Determine if each sequence is an arithmetic sequence. If yes, find the common difference and the next two terms.
(Ex 1)
a. c.
(Ex 2)
d.
(Ex 3)
e.
(Ex 3)
f.
(Ex 3)
Flowers are purchased to put on tables at a reception. The head table needs to have 12 flowers and the other tables need to have 6 flowers each.
(Ex 4)
g. Write a rule to model the situation.
h. Use the rule to find the number of flowers needed for 15 tables.
Math Reasoning
Verify Is the sequence -1, -5, -9, -13, ... an arithmetic sequence?
Lesson Practice
(31)
*3.
(34)
2. = (31) 4
x
10 -20
_32
x+4 _
3
7, 6, 5, 4, ... b. 10, 12, 15, 19, ...
Use a recursive formula to find the first four terms of an arithmetic
sequence where a1 = -3 and the common difference d = 4.
Use the rule an = 14 + (n - 1)(-3) to find the 4th and 11th terms of an
arithmetic sequence.
Find the 10th term of the sequence 1, 10, 19, 28, .... Find the 11th term of the sequence _2, 1, 1_1, 1_2, ....
333
Practice
Solve each p_roportion
1._2=
Distributed and Integrated
214
Saxon Algebra 1
Construction An amphitheater with tiered rows is being constructed. The first row will have 24 seats and each row after that will have an additional 2 seats. If there will be a total of 15 rows, how many seats will be in the last row?