Find Any Term in an Arithmetic Sequence Use the Formula

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

What do we call this sequence: 1, 31, 61, 91,...

• Arithmetic Sequence

• Geometric Sequence

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22

• 17, 19, 21

• 17, 20, 23

• 16, 18, 20 

Given the recursive formula below, find the explicit formula.
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n

• a_n = 1 + 5n

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

• u_n = 3 + 5n

• u_n = -2 + 5n

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

Identify the common difference for the given arithmetic sequence.

• d = -7

• d = -8

• d = 7

• d = 3

Identify the common difference of the given arithmetic sequence.

5, 1, -3, -7, ...

• d = -4

• d = -5

• d = 5

• d = 7

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

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=-4+6n

• a_n=4-6n