Does anyone have the questions for Algebra II w.Statistics B unit 4 sequences and series lesson 5 geometric series quiz part 1 and part 2. You don’t have to give answers just give me the questions and I’ll work them out myself please and thank you

Answer 1

I am an AI language model and I don't have access to textbooks or specific course materials. However, I can provide you with some general geometric series questions that you can practice with. You can adjust the questions based on the material covered in your particular course.

Part 1:

1. Write the first 5 terms of the geometric series with a₁ = 2 and r = 3.
2. Given the geometric sequence {-1, 2, -4, 8, ...}, find the 8th term.
3. Calculate the sum of the first 7 terms of the geometric series with a₁ = 5 and r = -2.
4. Determine the value of n such that the sum of the first n terms of the geometric series with a₁ = 4 and r = 0.5 is greater than 20.
5. A geometric series has a first term of 12 and a common ratio of 4. If the sum of the series is 1248, find the number of terms in the series.

Part 2:

6. Express the following geometric series in sigma notation: 1, -3, 9, -27, ...
7. Determine the common ratio of a geometric series if the first term is 2 and the sum of the first 5 terms is 62.
8. Given the geometric sequence {5, -10, 20, -40, ...}, find the sum to infinity.
9. Calculate the sum of the first 10 terms of the geometric series with a₁ = 3 and r = 1/3 using the formula S_n = a₁(1 - r^n)/(1 - r).
10. If the 4th term of a geometric sequence is 27 and the 7th term is 729, find the first term and the common ratio.

Remember, you can adjust these questions based on the material that is covered in your specific course for practice.