Explicit Formula, Arithmetic Sequences and Recursive Formulas

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

• 8

• 11

• -11

• -8

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic

• Geometric

• Neither

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

• Explicit; -3, -7, -11, -15

• Recursive; -3, -7, -11, -15

• Explicit; -5, -9, -13, -17

• Recursive; -5, -9, -13, -17

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

Given the sequence -5, -15, -25, -35..., which recursive formula describes it?

Write the explicit formula for the sequence.

Write the explicit formula for the sequence.

Which of the following recursive formulas represents the given sequence. 4, 12, 36, 108, 324, ...