Geometric Sequences

Is this a Geometric Sequence? If so, what is r?

• No

• Yes, 1/4

• Yes, -1/4

• Yes, -4

Tags

CCSS.HSF.BF.A.2

Is this a Geometric sequence? If so, what is r?

• No

• Yes, 2

• Yes, 4

• Yes, 1/2

Find the three terms in the sequence after the last one given:
1, 2, 4, 8, ...

• -8, -16, -32
• -128, 512, -2048
• 16, 32, 64
• -16, -32, -64

Tags

CCSS.HSF.BF.A.2

Find the explicit formula if given the following sequence: 1, 3, 9, 27, ...

• a_n = 3(3)^n-1
• a_n = 3(5)^n-1
• a_n = 3^n-1
• a_n = 15(5)^n-1

The common ratio is 

• the distance between each term.
• the ratio between terms; the value added to each term to get the next term.
• the ratio between terms; the value each term is multiplied by to get the next term.

Tags

CCSS.HSF.BF.A.2

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

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

What is depreciation?

• Cars lose value once you drive them.
• Cars lose space once you drive them.
• Cars gain value once you drive them.
• Cars lose mileage once you drive them.

Write an equation for the n-th term of each geometric sequence, and find the indicated term.

the 5th term of -6, -24, -96, ...

• a_n = -6(4)ⁿ; -6144

• a_n = -6(4)^n-1; -1536

• a_n = 4(-6)^n-1; 5184

Find the common ratio for the geometric sequence.

• 1
• -1
• 7
• -7

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ
• a_n = 7(-1)ⁿ
• a_n = 7(-1)^n-1
• a_n = -1(7)^n-1

Tags

CCSS.HSF.BF.A.2