Arithmetic Recursive and Explicit Formulas

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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

• Arithmetic

• Geometric

• Neither

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

• 8

• 11

• -11

• -8

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

What is the recursive formula for arithmetic sequences?

• f(n) = f(n-1) + d

• f(n) = f(1) + (n+1)d

• f(n) = f(1) + nd

• f(n) = f(1)+ (n-2)d

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. 9, 5, 1, -3, ...

Write the explicit formula for the sequence.