Arithmetic and Geometric Sequences

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common ratio?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

What is the formula for an arithmetic sequence?

• $a_{n\ }=\$ $a_1$ + d(n-1)

• $a_{n\ }=\$ d + $a_1$ (n-1)

• $a_{n\ }=\$ $a_1$ + d

• $a_{n\ }=\$ $a_1$ + d(n)

Tags

CCSS.HSF.BF.A.2

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

• a_n = a₁ + d(n-1)

• a_n = a₁(r)^n-1

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

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

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

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

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

• $50
• $35
• $320
• $250

Tags

CCSS.HSF.BF.A.2

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25
• 20
• 5
• 4

Tags

CCSS.HSF.BF.A.2

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683
• 6,561
• 2,187
• 729

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1
• a_n = -2(-5)^n-1
• a_n = -2(5)^n-1
• a_n = 2(5)^n-1

Tags

CCSS.HSF.BF.A.2