CC Algebra 3 Module 1 Sequences & Series Quiz Review 2020

12.8 feet

A ball is dropped from a height of 20 feet, and bounces to 0.8 of its previous height on each bounce. How high does it bounce on its third bounce?

20

A ball is dropped from a height of 20 feet, and bounces to 0.8 of its previous height on each bounce. What is a₁?

0.8

A ball is dropped from a height of 20 feet, and bounces to 0.8 of its previous height on each bounce. What is r?

67.232 feet

A ball is dropped from a height of 20 feet, and bounces to 0.8 of its previous height on each bounce. What is the total feet it will bounce in 5 bounces?

100 feet

A ball is dropped from a height of 20 feet, and bounces to 0.8 of its previous height on each bounce. What is the total number of feet the ball bounces when it comes to rest?

40

A football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. What is "n" if you are adding seats in all of the rows?

15

A football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. What is a₁?

2

A football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. What is d?

8- 60x +150x²-125x³

Expand: (2-5x)³

x⁴+12x³+54x²+108x+81

Expand: (x+3)⁴

x⁴-12x³+54x²-108x+81

Expand: (x-3)⁴

393,600x²

Find the 5th term of (2x+9)⁶

-1,032,192x⁴

Find the 6th term of: (4x-2)⁹

.0404040404

Find the 99th term of the sequence with the rule: aₙ= (4n/n²)

-9801

Find the 99th term of the sequence with the rule: aₙ=(-1)ⁿn²

2.5

Find the common ratio for this sequence. 30, 75, 187.5, 468.75, 1171.875...

-2

Find the common ratio for this sequence. 4, -8, 16, -32, 64...

1

Find the infinite sum of the sequence with this rule: aₙ = (½)ⁿ

Not possible

Find the infinite sum of the sequence with this rule: aₙ = 2ⁿ

-515

Find the sum of the first 12 terms with this rule: aₙ=-2(1.5)ⁿ

5

Find the sum of the first 15 terms of the sequence: 2 + 6/5 + 18/25 + ... +2(3/5)^15

-880

Find the sum: 17 + 15 + 13 + 11 + 9 +...; n = 40

1,150

Find the sum: aₙ=5n-19; n = 25

4

If bacteria growth quadruples after starting with 100 cells, what represents r?

100

If bacteria growth triples after starting with 100 cells, what represents a₁?

Explicit

Is this rule explicit or recursive? aₙ = ½n-2

Geometric

Is this sequence arithmetic, geometric or neither? 1, 1/2, 1/4, 1/8, 1/16...

Arithmetic

Is this sequence arithmetic, geometric or neither? -3, -5, -7, -9, -11...

Neither

Is this sequence arithmetic, geometric or neither? 1, 4, 9, 16, 25...

2, 4, 6, 8, 10

List the first 5 terms of the sequence with the rule: aₙ = 2n

1, 4, 9, 16, 25

List the first 5 terms of the sequence with the rule: aₙ = n²

3, 5, 7, 9, 11

List the first 5 terms of the sequence with the rule: aₙ= 2n+1

1, 7, 21, 35, 35, 21, 7, 1

Name the terms of the 7th row of Pascal's triangle.

43

The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in the 15th row?

17

The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in the 2nd row?

2,160

The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in the section?

2, 6, 12, 20

What are the first 4 terms of the sequence with this rule: aₙ+1=aₙ +2n, a₁=2

2, 5, 8, 11

What are the first 4 terms of the sequence with this rule: aₙ+1=aₙ +3, a₁=2

2, 4, 7, 11

What are the first 4 terms of the sequence with this rule: aₙ+1=aₙ +n, a₁=2

2, -1, -4, -7

What are the first 4 terms of the sequence with this rule: aₙ+1=aₙ - 3, a₁=2

2, 3, 12, 33, 102

What are the first 5 terms of the sequence with this rule: aₙ+1=2(aₙ) +3(aₙ-1), a₁=2, a₂=3

Finite geometric sum formula

What formula would you use to find a finite sum of this sequence: 2, 4, 8, 16, 32...

None of the formulas will work

What formula would you use to find an infinite sum of this sequence: 2, 4, 8, 16, 32...

aₙ=a₁+d(n-1)

What formula would you use to find the 99th term of this sequence? 3, 6, 9, 12, 15...

aₙ=a₁(r)ⁿ-1

What formula would you use to find the 99th term of this sequence? 3, 6, 12, 24, 48...

Infinite geometric sum formula

What formula would you use to find the infinite sum of this sequence? 32, 16, 8, 4, 2...

One of the arithmetic sum formulas

What formula would you use to find the sum of the first 15 terms of this sequence? aₙ=3n+1

30

What is "n" for the sum of this sequence? 1 + 3 + 5 +...+59

-5/4

What is a₁ for this sequence? aₙ=¼(-5)ⁿ

0

What is a₁ of the sequence with this rule? aₙ= 5n-5

-1

What is a₁ of the sequence? -1, -6, -11, -16, -21

7

What is r for this sequence? aₙ=¼(7)ⁿ

3

What is the common difference for a sequence with these two terms: 8th term is 8 20th term is 44

6

What is the common difference for a sequence with these two terms: 9th term is -5 15th term is 31

-5

What is the common difference of the sequence with these terms: -1, -6, -11, -16, -21

8

What is the common difference of the sequence with this rule? aₙ= 8n-5

aₙ=n

What is the rule for the sequence of counting numbers?

aₙ=2n

What is the rule for the sequence of even numbers?

4,096

What is the sum of the 12th row of Pascal's triangle? (Hint: The sum of any row of the triangle is 2 to the power of the row number).

512

What is the sum of the 9th row of Pascal's triangle? (Hint: The sum of any row of the triangle is 2 to the power of the row number).

1,640

What is the sum of the first 40 even numbers?

820

What is the sum of the first 40 positive integers?

25

What is the sum of the first 5 terms of the sequence with this rule: aₙ=5

2⁰+2¹+2²+2³+2⁴

What is the triangular sum of the first 4 rows of Pascal's triangle?

Sigma means sum

What is this symbol and what does it mean? ∑

1's

What number makes up the two outer rows of Pascal's Triangle?

100%!

What percent effort are you going to put forth to get ready for this test?

You would have to find the 98 prior terms first, and that would be very time consuming.

Why would we NOT ask you to find the 99th term of a recursive sequence?

aₙ=(-3)(3ⁿ-1)

Write the general rule for the sequence: -3, -9, -27, -81, -243...

aₙ=50(½)ⁿ-1

Write the general rule for the sequence: 50, 25, 12.5, 6.25, 3.125, 1.5625...

aₙ=n²-1

Write the rule for this sequence: 0, 3, 8, 15, 24...

aₙ=n²+n

Write the rule for this sequence: 2,6,12,20,30

$627,617.43

You start working at a new job that pays $35,000 with raises of 2.5% each year. How much will you have made after 15 years at the same job with the same raises?

$35,000

You start working at a new job that pays $35,000 with raises of 2.5% each year. What is a₁?

1.025

You start working at a new job that pays $35,000 with raises of 2.5% each year. What is r?

$37,691.17

You start working at a new job that pays $35,000 with raises of 2.5% each year. What salary will you make in your 4th year?