Identifying and writing sequences

Find the common difference.

• A

• B

• C

• D

Write an explicit formula for the sequence

6, 10, 14, 18, ...

• $a_n=6+4\left(n-1\right)$

• $a_n=2+4\left(n-1\right)$

• $a_n=6\left(4\right)^{\left(n-1\right)}$

• $a_n=6\left(4\right)\left(n-1\right)$

Create a rule for the sequence:
-3, 6, -12, 24,,,

• a_n= -3+ 2n
• a_n= -3(-2)^n-1
• a_n= -2(-3)^n-1
• a_n= -3(2)^n-1

Find a₃₂ given the arithmetic sequence:

14, 6, -2, -10, . . .

• -226

• -234

• -242

• -250

Describe the relationship between the terms in this arithmetic sequence.

3, 7, 11, 15, ...

• Add 6 to the previous term

• Add 4

• Add 4 to the previous term

• Add 6

Geometric Sequence: Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

What is the common ratio? (pay attention to negatives!)

-9, 27, -81, 243...

• r = -3

• r = 3

• d = 36

• d = -36

Find the common ratio of the following geometric sequence:

64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

-28 is the _____ term of the following arithmetic sequence:

7, 2, -3, ...

• 5th

• 6th

• 7th

• 8th

Answer explanation

Write the Equation

a(n)=-5n+12

Substitute

-28=-5n+12

solve

n=8