Sequences

Remember that arithmetic sequences have a common difference (add/subtract). Geometric sequences have a common ratio (multiply/divide).

SELECT the TWO true statements!

• Arithmetic sequences have a common difference and we are adding the same number each time.

• Arithmetic sequences have a common difference and we are multiplying the same number each time.

• Geometric sequences have a common ratio and we are adding the same number each time.

• Geometric sequences have a common ratio and we are multiplying the same number each time.

Which kind of sequence has a common ratio?

• Arithmetic
• Geometric

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

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

• Arithmetic
• Geometric
• Neither

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

• Arithmetic
• Geometric
• Neither

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic
• Geometric
• Neither

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

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

• 8
• 11
• -11
• -8

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250