Quiz about Hnrs Trig Unit 8 Test Review

Question 1

Harmony earns a $42,000 salary in the first year of her career. Each year, she gets a 4% raise. How much has Harmony earned in her first n years of her career?

Accepted Answer

$$42,000\left(\frac{1-1.04^n}{-0.04}\right)$$

Answer

$$42,000\left(\frac{1-0.04^n}{0.96}\right)$$

Answer

$$42,000\left(\frac{1-1.04^n}{0.96}\right)$$

Answer

$$42,000\left(\frac{1-0.96^n}{-0.04}\right)$$

Question 2

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

Accepted Answer

2,604

Answer

2,163

Answer

2,422

Answer

2,803

Question 3

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

Accepted Answer

84.04 cm

Answer

25 cm

Answer

53.7956 cm

Answer

59.04 cm

Question 4

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 5

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

Accepted Answer

64, 32, 16

Answer

1024, 2048, 4096

Answer

32, 8, 2

Answer

92, 66, 38

Question 6

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 7

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

Accepted Answer

4, 20, 100, 500

Answer

20, 100, 500, 2500

Answer

5, 20, 80, 320

Answer

4, 9, 14, 19

Question 8

Find the sum of the infinite geometric series, if it exists. $$\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$$

Accepted Answer

10

Answer

8

Answer

8/5

Answer

Does not exist

Question 9

Which of the following is DIVERGENT?

Accepted Answer

2+4+8+16+...

Answer

25+5+1+0.2+...

Answer

100+50+25+5+...

Answer

3(.25)ⁿ = A_n

Question 10

Is the sequence convergent or divergent?

Accepted Answer

Option B is correct

Answer

Convergent

Question 11

What best describes the following infinite geometric series:

1/3 - 1/9 + 1/27 - 1/81 + ...

Accepted Answer

Converges

Answer

Diverges

Question 12

Find the sum of the infinite geometric series, if it exists. $$\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$$

Accepted Answer

Does Not Exist

Answer

205

Answer

19.5

Answer

108.75

Question 13

$$\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$$ Find the sum of the series if it exists.

Accepted Answer

5

Answer

4/5

Answer

6.5

Answer

Does not exist

Question 14

Evaluate the series.

Accepted Answer

85

Answer

36

Answer

35

Answer

86

Question 15

Determine the sum of the series written in Sigma Notation.

Accepted Answer

2700

Answer

5400

Answer

2692

Answer

2704

Question 16

Which formula is used to find the explicit equation for arithmetic sequences?

Accepted Answer

a_n = a₁ + d(n-1)

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ * r^n-1

Question 17

Evaluate: $$\sum_{x=2}^{11}\left(5x-2\right)$$

Accepted Answer

305

Answer

503

Answer

53

Answer

8

Question 18

What is the twelfth term in the sequence 3, -6, 12, . . . ?

Accepted Answer

-6,144

Answer

-2,048

Answer

6,144

Answer

-531,441

Question 19

Find S_n for the given series:
a₁=22
d=-8
n=21

Accepted Answer

-1218

Answer

1911

Answer

-1449

Answer

-2436

Question 20

Question 20.

Accepted Answer

0

Answer

Does Not Exist

Answer

9

Answer

1

Question 21

Find the limit

Accepted Answer

0

Answer

6/5

Answer

$$\infty$$

Answer

$$-\infty$$

Question 22

Justine earned $17,000 during the first year of her job at city hall. After each year she received a 4% raise. Find her total earnings during the first five years on the job.

Accepted Answer

$92,077.48

Answer

$3,541.44

Answer

$517,077.48

Answer

$72,189.89

Question 23

In June, Cory begins to save money for a video game and a TV he wants to buy in December. He starts with $20. Each month he plans to save 10% more than the previous month. How much money will he have at the end of December?

Accepted Answer

$189.74

Answer

$154.31

Answer

$228.72

Answer

$251.59

Question 24

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

Accepted Answer

a_n = 729(1/3)^n-1

Answer

a_n = 729(3)^n-1

Answer

a_n = 1/3(a_n-1)

Answer

a_n= 1/3(729)^n-1

Hnrs Trig Unit 8 Test Review

30 questions

Harmony earns a $42,000 salary in the first year of her career. Each year, she gets a 4% raise. How much has Harmony earned in her first n years of her career?

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

Find the common ratio for the geometric sequence.

What are the next 3 terms in the following geometric sequence:
512, 256, 128, _, _, ___, ...

Write the explicit formula for the geometric sequence.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

Which of the following is DIVERGENT?

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Hnrs Trig Unit 8 Test Review

30 questions

Harmony earns a $42,000 salary in the first year of her career. Each year, she gets a 4% raise. How much has Harmony earned in her first n years of her career?

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a1 = 25), how much total distance in the downward direction has the ball traveled after five bounces?

Find the common ratio for the geometric sequence.

What are the next 3 terms in the following geometric sequence:512, 256, 128, ___, ___, ___, ...

Write the explicit formula for the geometric sequence.

Find the first four terms of the sequence given the rule:an = 4(5)n-1

Is this sequence Arithmetic, Geometric, or Neither?{14, 22, 30, 38, .. }

Which of the following is DIVERGENT?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

What are the next 3 terms in the following geometric sequence:
512, 256, 128, _, _, ___, ...

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }