Arithmetic and Geometric Sequences Review

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

• 2

• 4

• 6

• 8

How many of these sequences have a common difference of -4?

-19, -15, -11, -7, -3,...

19, 15, 11, 7, 3...

3, 7, 11, 15, 19...

-3, 7, -11, 15, -19,...

• 0

• 1

• 2

• 3

What is the eleventh term of an arithmetic sequence in which a₁ = 3 and d = 6?

• 63

• 39

• 69

• 36

Is this sequence Arithmetic, Geometric, or Neither?

2, 9, 7, 14, 12, 19, ...

• Arithmetic

• Geometric

• Neither

What is the difference between an arithmetic sequence and a geometric sequence?

• One is the sum of the numbers and one is just a list of numbers.

• One has a common difference and one has a common ratio.

• One you can write an nth term and one you cannot.

• None of these are correct.

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

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

• r = -4
• r = 2
• r = -2
• r = 4

Find the 8th term of a geometric sequence for which a₁ = 2 and r = 7?

• 823,543

• 11,529,602

• 1,647,086

• 5,764,801

What is the 100th term in the sequence f(n)= 4n-12

• 388

• 40012

• -388

• 100

Which of the following is the correct formula for finding the Arithmetic Series?