Arithmetic and Geometric Sequences

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

• -4

• 10

• -122

• 174

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

• a_n = -1-5n

• a_n = -1+5n

• a_n= 1+5n

• a_n = 1-5n

Create the formula for the arithmetic sequence:
-10, -3, 4, 11...

• a_n = 17-7n

• a_n = -17+7n

• a_n= -17-7n

• a_n = 17+7n

Create the formula for the geometric sequence:
1, 4, 16, 64...

• a_n = 3^n-1

• a_n = 2^n-1

• a_n = 5^n-1

• a_n = 4^n-1

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1

• a_n = -2(-5)^n-1

• a_n = -2(5)^n-1

• a_n = 2(5)^n-1

Is the sequence 7, 9, 12, 16,... geometric?

• yes

• no

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

• u_n = 2(11)^n-1

• u_n = 11(2)

• u_n = 11(2)^n-1

Create the formula for the 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

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8