Arithmetic and Geometric Sequences with Word Problems

Find the tenth term:

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CCSS.HSF.BF.A.2

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

Tags

CCSS.HSF.BF.A.2

The first term in an arithmetic sequence is -8 and the common difference is 14.  What is the 28th term given the equation a_n = a₁ + d (n - 1)

• 378

• 1024

• -324

• 370

Tags

CCSS.HSF.BF.A.2

The first term in a geometric sequence is 160 and the common ratio is 1/2.  What is the 7th term given the equation a_n = a₁ (r)^n-1

• 5

• 2.5

• 10

• 1.25

Tags

CCSS.HSF.BF.A.2

What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...

• 5

• -5

• -6

• 1/5

Tags

CCSS.HSF.BF.A.2

What is the common ratio in this sequence?

• 1/2

• 2

• 12

• 24

Tags

CCSS.HSF.BF.A.2

The next two terms of the sequence 4, 7, 10, 13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Tags

CCSS.HSF.BF.A.2

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

Tags

CCSS.HSF.BF.A.2

In a geometric sequence, a₁ = 486 and a₂ = 162. What is the explicit formula for this sequence?

• a_n = 2(3)^n-1

• a_n = 18(3)^n-1

• a_n = 18(1/3)^n-1

• a_n = 486(1/3)^n-1

Tags

CCSS.HSF.BF.A.2

A plumber charges $55 for 1 hour of work, $90 for 2 hours, and $125 for 3 hours. Which formula represents the sequence of hourly charges?

• a_n = 55 + 35n

• a_n = 55(35)^n-1

• a_n = 35 + (n-1)55

• a_n = 55 + (n-1)35

Tags

CCSS.HSF.BF.A.2