ExplicitFormula for Arithmetic Sequences

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)
• 4 + 6(n - 1)
• 6 - 4(n - 1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Select the explicit rule that represents the sequence.

• 14(-3)(n - 1)
• 3 + (n - 1)(14)
• 14 + (n - 1)(-3)
• -3 + (n - 1)(14)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator
• Common opposites
• Common domain
• Common difference

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)
• a_n = -23 - 7(n -1)
• a_n = 7 - 23(n -1)
• a_n = 7 + 23(n -1)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the 22nd term of the following sequence:

5, 8, 11, ...

Hint: write the formula first, then plug in 22 for n

• 14

• 68

• 63

• 71

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

Hint: Write the formula first, then plug in 32 for n

• 32

• 64

• 127

• 356