Application Arithmetic and Geometric Sequences

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a_{7 (7th term)} ?

• -13

• -11

• -18

• -22

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ... (Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50

• $35

• $320

• $250

What is a_{5 (5th term)} in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

• u_n = 2(11)^n-1

• u_n = 11(2)

• u_n = 11(2)^n-1

What is the 38th term of this arithmetic sequence? {26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250

• 5

• 10

• 50

Write the explicit formula for the sequence.

What is the next term in the sequence 12, 31, 40, 49, ... ?

• 56

• 57

• 58

• 59