Analyzing a Pattern

Multiple Choice

The individual numbers in a sequences are called...

• Common difference
• Successive term
• Term
• Geometric term

Multiple Choice

The difference between two terms in an arithmetic sequence is called ___________________.

• Formula

• Common Ratio

• Common Difference

• Common Factor

Multiple Choice

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

• u_n = 2(11)^n-1
• u_n = 11(2)
• u_n = 11(2)^n-1

Multiple Choice

What does a₁ represent?

• Any term

• First term

• Last term

Multiple Choice

Dividing by 12 is the same as ...

• × 12
• ÷ 1/12
• × 1/12
• + 12

Multiple Choice

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

Multiple Choice

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

• $10

• $300

• $162

• $416

Linear sequences are like lines with that y=mx+b formula you are all familiar with.

notice the pattern between the

y values, when looking at sequences it is like we are only going to look at the y values. We should assume the x values are constant or rewrite the table to make them constant and in numerical order.

we also have special sequence formulas to learn

Multiple Choice

Which of the following is the correct formula in finding the nth term of an arithmetic sequence?

• a_n = a₁ + (n - 1)d

• a_n = a₁ + (n + 1)d

• a_n = a₁ - (n - 1)d

• a_n = a₁ +- (n + 1)d

Multiple Choice

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a_{7 (7th term)} ?

• -13

• -11

• -18

• -22

Multiple Choice

what is the linear equation of sequence 10 15 20 25 ?

• y=5x+5

• y=5x

• y=x+5

• y=5x+1

Multiple Choice

Complete the Table.

• 25, 32, 39, 46
• 7, 32, 57, 82
• 32, 39, 46, 53
• 7, 14, 21, 28

Multiple Choice

What will be the length if there were 20 grocery carts? (Hint: Find explicit rule first)

• 98 inches
• 266 feet
• 266 inches
• 98 feet

Multiple Choice

Create the explicit formula for the arithmetic 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

Multiple Choice

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Multiple Choice

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic
• Geometric
• Neither

Multiple Choice

Which kind of sequence has a common ratio?

• Arithmetic
• Geometric

Multiple Choice

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

• Arithmetic
• Geometric
• Neither