Complete the following questions to practice the skills you have learned in this lesson.
- Here are the first two terms of a geometric sequence: 2, 4. What is the 5th term in the sequence?
- What are the common ratios of each geometric sequence?
- 1, 1, 1, 1
- 256, 128, 64
- 18, 54, 162
- 0.8, 0.08, 0.008
- 0.008, 0.08, 0.8
- A person owes $1,000 on a credit card that charges an interest rate of 2% per month.
Complete this table showing the credit card balance each month if they do not make any payments. Enter each answer to the hundredths place.
Month | Total Bill In Dollars |
---|---|
1 | 1,000 |
2 | 1,020 |
3 | 1,040.40 |
4 | a. |
5 | b. |
6 | c. |
7 | d. |
8 | e. |
Table
4.15.0
- Month 4
Round to the hundredths place. Do Not Enter Commas.
- Month 5
Round to the hundredths place. Do Not Enter Commas.
- Month 6
Round to the hundredths place. Do Not Enter Commas.
- Month 7
Round to the hundredths place. Do Not Enter Commas.
- Month 8
Round to the hundredths place. Do Not Enter Commas.
- A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four steps:
Complete this table showing the number of shaded triangles in each step and the area of each triangle. Enter each answer as an integer.
Step Number | Number Of Shaded Triangles | Area Of One Shaded Triangle In Square Inches |
---|---|---|
0 | 1 | 256 |
1 | 3 | a. |
2 | b. | c. |
3 | d. | e. |
4 | f. | g. |
Table
4.15.1
- In Step 1, what is the area of each shaded triangle in square inches?
- In Step 2, what is the number of shaded triangles?
- In Step 2, what is the area of each shaded triangle in square inches?
- In Step 3, what is the number of shaded triangles?
- In Step 3, what is the area of each shaded triangle in square inches?
- In Step 4, what is the number of shaded triangles?
- In Step 4, what is the area of each shaded triangle in square inches?
- For each geometric sequence with missing terms, find the common ratio that might help determine the missing terms.
- ___, 5, 25, ___, 625
- –1, ___, –36, 216, ___
- 10, 5, ___, ___, 0.625
- ___, ___, 36, –108, ___
- ___, 12, 18, 27, ___