Sequences Arithmetic and Geometric

Is the sequence arithmetic or geometric: 37, 31, 25, 19, ...

• arithmetic

• geometric

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The pattern followed by the sequence 3,6,9,12 is...

• common difference of 2.

• common difference of 3.

• common ratio of 2.

• common ratio of 3.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Identify the common difference.

97, 86, 75, 64, ...

• 8

• 7

• -11

• -8

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a₁ = 17
  a_n = a_n-1 + 16
• a₁ = 17
  a_n = a_n-1 - 17
• a₁ = 17
  a_n = a_n-1 - 15
• a₁ = 17
  a_n = a_n-1 - 16

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

• 145
• 144
• 142
• 138

Tags

CCSS.HSF.BF.A.2

Find the explicit formula for the sequence:
5, 8, 11, 14, ...

• a_n = 5 + 3n
• a_n = 5 + 3(n - 1)
• a_n = 2 + 3(n - 1)
• a_n = 2 + 3(n - 1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:

a_n = a_n-1⋅-3

a₁ = 45

• 45, -135, 405, -1215

• -45, -135, -405, -1215

• 45, 135, 405, 1215

• 45, 42, 39, 36

Tags

CCSS.HSF.BF.A.2