Practice Explicit and Recursive Sequences

Select the explicit rule that represents the sequence.

• a(n) = 14(-3)(n - 1)

• a(n) = 3 + (n - 1)(14)

• a(n) = 14 + (n - 1)(-3)

• a(n) = -3 + (n - 1)(14)

Tags

CCSS.HSF.BF.A.2

What is the 15th term of the sequence a(n) = -3n+50

• 95

• -5

• 5

• -95

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

Tags

CCSS.HSF.BF.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

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

• 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.IF.A.3

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2

Find a₁₂ for the rule a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288

Tags

CCSS.HSF.BF.A.2

Find the next three terms for the geometric sequence:
64, 16, 4,...

• 0, -4, -8

• 1, ¼, 1/16

• 1, -3, -7

• cannot be determined

Tags

CCSS.HSF.BF.A.2

Write the recursive rule for the geometric sequence:
64, 16, 4,...

• a₁ = 64; a_n = a_n-1 - ¼

• a₁ = 4; a_n = 4(a_n-1)

• a₁ = 64; a_n = 4(a_n-1)

• a₁ = 64; a_n =   1/4(a_n-1)

Tags

CCSS.HSF.BF.A.2

Find the next three terms for the geometric sequence:
2, -12, 72, ...

• 432, 2592, 15,552

• -432, 2592, -15,552

• 3672, 25,272, 154,872

• cannot be determined

Tags

CCSS.HSF.BF.A.2