Arithmetic Sequences Explicit Rule

Create the explicit formula for the sequence:

2, 8, 14, ...

• y=2+6x

• y=-6+6x

• y=6x-4

• y=4-6x

Tags

CCSS.HSF.BF.A.2

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Tags

CCSS.HSF.BF.A.2

Which formula below shows how to write an EXPLICIT formula for an arithmetic sequence?

• f(n) = f(1) + d(n - 1)

  f(1) = 1st term

  d = common difference

  n = position of a term

  f(n) = value of nth term

• f(n) = d + f(1)(n - 1)

  f(1) = 1st term

  d = common difference

  n = position of a term

  f(n) = value of nth term

• f(1) = d + f(n)(n - 1)

  f(1) = 1st term

  d = common difference

  n = position of a term

  f(n) = value of nth term

Answer explanation

Remember... An explicit rule is:

"First Term Common Difference (n-1) DONE"

Tags

A.12(D) TEKS

Match the following explicit rules to the sequence they each describe:

• 4, 17, 30, 43, ...

• f(n)= 17 - 4(n-1)

• -4, -21, -38, -55, ...

• f(n)= 4 + 13(n-1)

• 13, 17, 21, 25, ...

• f(n)= 13 + 4(n-1)

• 17, 13, 9, 5, ...

• f(n) = -4 - 17(n-1)

Answer explanation

Remember... An explicit rule is:

"First Term Common Difference (n-1) DONE"

Tags

A.12(D) TEKS

Which arithmetic sequence is described by this explicit rule?

• -6, 8, 22, 36, ...

• -6, -14, -22, -30, ...

• -6, 2, 10, 18, ...

• 8, 2, -4, -10, ...

Tags

A.12(C) TEKS

Which arithmetic sequence is described by this explicit rule?

• 12, 4, -4, -12, ...

• 12, 16, 20, 24, ...

• 4, 16, 28, 40, ...

• answer not here

Tags

A.12(C) TEKS

Which arithmetic sequence is described by this explicit rule?

• -0.5, -2, -3.5, -5, ...

• -1.5, -2, -2.5, -3, ...

• -0.5, 1, 2.5, 4, ...

• answer not here

Tags

A.12(C) TEKS

What is the value of the 99^th term in the sequence described by this explicit rule?

a_n = -0.5 - 1.5(n - 1)

• 52.5

• 148

• -50.5

• -147.5

Tags

A.12(C) TEKS

What is the value of the 57^th term in the sequence described by this explicit rule? a_n = 13 + 4(n - 1)

• 241

• 237

• 211

• -57

Tags

A.12(C) TEKS