1. Which of the following is an infinite sequencea. -3, -2, 3, 8, ..., 33b. 3, 5, 7, 9, 11c. 5, 9, 13, ...d. 2, 4, 6, 8, 12. Give the next term in the sequence, 3, 7, 11, 15, 19,a. 21b. 22b. -15c. 233. The 7th term of the sequence defined by the generala. -11c. 154. Solve for the general term of the sequence 0, 3, 8, 15,c. an5. Determine the common difference of the arithmetic sa. an = n²+1a. -5b. an = n²-1b. -4c. -36. Write the general term of the sequence 9, 12, 15, 18,a. a=3n +6b. an=2n+17. A sequence that has a last term is calleda. Arithmeticb. Finite8. Each number in the sequence is calleda. Termc. an=c. Lasc. Scc9. Find the next three terms of the sequence -1, 2, 5,8a. -11, -14, -17b. Observationb. 11, 12, 13c. 11,10. A sequence in which a constant is added to the previocalleda. Geometricb. Arithmetic11. The formula a₁ = a₁ + (n-1) d is used to find thea. Rationalb. meansc. Infic. firs12. Find the common difference in the arithmetic sequenb. 3/4c. 1/2a. 1/4d. 3/213. The arithmetic mean between two terms of a sequencfind the other term.a. -12b. -14c. -18d. 1414. Find the tenth term (a10) of an arithmetic sequence wib. -27c. 43d. 27a. -4515. What is the seventh term of the given sequence 9, 4,a. -16b. -21c. -26d. -31
Answer (1)
Answer:Here are the answers:1. **c. 5, 9, 13, ...**2. **a. 21**3. The 7th term of \(a_n = 2n - 1\) is **13** (not listed).4. The general term for 0, 3, 8, 15 is **b. \(a_n = n^2 - 1\)**.5. The common difference in \(a_n = n^2 - 1\) is **b. -2** (not listed).6. The general term for 9, 12, 15, 18 is **a. \(a_n = 3n + 6\)**.7. **b. Finite**8. **a. Term**9. The next three terms of -1, 2, 5, 8 are **b. 11, 14, 17**.10. **b. Arithmetic**11. The formula \(a_n = a_1 + (n-1)d\) is used to find the **c. nth term**.12. The common difference in the sequence 2, 5, 8, ... is **d. 3**.13. The arithmetic mean between two terms is **d. 14** (context-dependent).14. The tenth term \(a_{10}\) is **c. 43**.15. The seventh term of 9, 4, -1, -6, -11, -16, ... is **d. -31**.
