Identifying and writing sequences

What is a geometric sequence?

• a list of numbers where each term is found by multiplying the previous term by a constant

• a list of numbers where each term is found by adding the previous term by a constant

What is the Rule for this sequence?
3, 7, 11, 15, ...

• +6
• +5
• +4
• +2

• n + 4
• 2n + 1
• 4n - 1
• 4n + 19

Write a sequence to represent the number of smiley faces in each group. Select all that apply.

How many terms are in the sequence 3, 5, 7, ....235

• 131.5

• 118

• 132.5

• 117

• Not here

Identify the common difference.

10, 20, 30, 40, ...

• d = 5

• d = 10

• d = 15

• d = 20

What is the common difference of this sequence?

• 4
• 3
• 7
• 1

Write the formula to find the nth term:
1, 2, 4, 8,...

• $a\left(n\right)=2\left(2\right)^{n-1}$

• $a\left(n\right)=1\left(2\right)^{n-1}$

• $a\left(n\right)=1\left(\frac{1}{2}\right)^{n-1}$

• $a\left(n\right)=1\left(2\right)^n$

Determine the explicit formula for a geometric sequence given

a₁ = 3 and a₄ = 648

• a_n = 6(3)^n-1

• a_n = 3(6)^n-1

• a_n = 6(-3)^n-1

• a_n = -3(-6)^n-1

Right a rule that describes this relationship that you could use to find any number "n", in this sequence.

Money saved during week 1, week 2, week 3, and week 4.

amount $60 $120 $180 $240

• 60 + n

• 60n

• 30 + n

• 30n