Unit 7 Sequences and Series

Write the explicit formula for the geometric sequence: 3, -12, 48, -192,…

• a_n=4(3)^n-1

• a_n=-4(3)^n-1

• a_n=3(-4)^n-1

• a_n=3(4)^n-1

Mr. Carlson suffers from allergies. When allergy season arrives, his doctor recommends that he take 300 mg of his medication the first day, and decrease the dosage by one half each day for one week. Which "rule" represents his medication doses for the week?

• f(n)=(1/2)n

• f(n)=300(1/2)^n-1

• f(n)=(1/2)^n-1

• f(n)=300+(1/2)n

A Greek theater has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 25^th row in the center section?

• 66

• 78

• 100

• 84

Use summation notation to write the series 49 + 54 + 59 + ... for 14 terms.

• 
• 
• 
• 

A sequence is shown below,

45, 38, 31, 24, 17,…

Which function defines the nth term of the sequence?

• A(n)=45-7n

• A(n)=46-n

• A(n)=52-7n

• A(n)=52+7n

As shown in the table, the monthly rent of an apartment depends on the number of bedrooms. If the pattern is extended, which of these is the likely cost of a 4-bedroom apartment?

1 Bedroom =$550

2 Bedrooms = $625

3 Bedrooms = $700

• $715

• $725

• $750

• $775

What is the sum of the first 50 terms for the following arithmetic series:

2 + 17 + 32 + 47 + ...?

• 1,600

• 18,475

• 18,235

• 19,125

What is the 11th term of the geometric sequence?

-2, 10, -50, 250, …

• -14, 348, 907

• -19,531,250

• 1,596,323

• 45

Find the common ratio for the geometric sequence:

162, 108, 72, 48

• 2/3

• -2/3

• 3/2

• -3/2

Find the sum of the first 9 terms in the arithmetic sequence.

2, -7, -16 …

• 324

• -324

• -306

• -17