Arithmetic and Geometric Sequences

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

Tags

CCSS.HSF.BF.A.2

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a₇ ?

• -13

• -11

• -18

• -22

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

In a certain arithmetic sequence, a₅ = 12 and a₆ = 16. What is a₁ ?

• -8

• -4

• 4

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The first term of an arithmetic sequence is b and the second term is c. What is the explicit formula to find the n^th term of

the sequence?

• a_n = b + (n − 1) c

• a_n = c + (n − 1) b

• a_n = b + (n − 1) (b − c)

• a_n = b + (n − 1) (c − b)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?

• a_n = 8n − 15

• a_n = −8n − 15

• a_n = 8n − 23

• a_n = −8n − 23

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

This is an arithmetic sequence. 8, 7.3, 6.6, 5.9, . . .

What function describes the sequence?

• f (x) = −0.7x + 8

• f (x) = −0.7x + 8.7

• f (x) = 0.7x + 8

• f (x) = 0.7x + 8.7

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

• f (1) = 7

  f (n) = f (n − 1) − 5

• f (1) = 22

  f (n) = f (n − 1) − 5

• f (1) = 7

  f (n) = f (n − 1) + 5

• f (1) = 22

  f (n) = f (n − 1) + 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

Tags

CCSS.HSF.BF.A.2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2