Arithmetic Sequences: Explicit Formula

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• a_n = 25 + (n-1)4

• a_n = 29 + (n-1)(-4)

• a_n = 25 +(n-1)(-4)

• a_n = 29 +(n-1)(4)

Tags

CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515
• -490
• -535
• 460

Tags

CCSS.HSF.BF.A.2

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

• a_n = 25 + (n - 1)(-4)

• a_n = 25 + (n - 1)(4)

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n= 2 + (n - 1) (-6)

• a_n= 2 + (n - 1) (6)

Given the arithmetic sequence

a_n = 5 + (n - 1)(6)

what are the first 5 terms of the sequence?

• 5, -1, -7, -13, -19 ..

• 5, 11, 17, 23, 29 ...

• 6, 11, 16, 21, 26 ...

• 6, 1, -4,

Given the arithmetic sequence

a_n = - 8 - (n - 1)(2)

what is the value of a₁₂

• -30

• -8

• 2

• -34

Which formula can be used to find any term in an arithmetic sequence?  

• a_n= a₁*r^(n-1)
• a_n= a₁ + (n-1)d
• a_n= dn +a₁
• a_n = n+(d-1)a₁

Tags

CCSS.HSF.BF.A.2

What is the rule for the nth term given

a₁ = 12 & d=4

• a_n= 12 + (n + 1)(4)

• a_n= 12 + (n - 1)(4)

• a_n= 4 + (n - 1)(12)

• a_n= 4 + (n + 1)(12)

Find the 22nd term of the following sequence:

5, 8, 11, ...

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2

In Harry Potter, what is the name of the train platform for the Hogwarts Express?

• Platform 3 9/4

• Platform 9 3/4

• Platform 8 1/2

• Platform 4 3/9