Arithmetic and Geometric Sequences

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

If the first term of an arithmetic sequence is 5 and the common difference is 6, what are the first five terms?

• 5, 11, 17, 23, 29

• 6, 11, 16, 21, 26

• 5, 10, 15, 20, 25

• 5, 11, 15, 20, 26

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216

• -148

• -146

• -150

Identify the common difference.

10, 20, 30, 40, ...

• 5

• 10

• 15

• 20

The next two terms of the sequence 12,17,22,27 are

• 28 and 33

• 29 and 34

• 32 and 37

• 30 and 35

Find the common difference: 29, 21, 13, 5, ...

Remember, the common difference is the difference between the numbers.

• d = -10

• d = -9

• d = -8

• d = -7

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

• -515

• -490

• -535

• 460

Write the first 6 terms of the sequence:

a_n = -2n - 5

• -9, -11, -13, -15, -17, -19

• -5, -7, -9, -11, -13, -15

• -7, -9, -11, -13, -15, -17

• -7, -12, -17, -22, -27, -32

Describe the sequence, find the 5th term, and write the rule

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10