a. The common difference, b. The index of summation, c. The total sum, d. The last term, , a. The product of terms, b. The difference between terms, c. The sum of terms, d. The average of terms, 3. Identify the 6th term of the sequence defined by: an=3n-2, a. 16, b. 20, c. 18, d. 14, 4. Evaluate 4! (4 factorial):, a. 10, b. 16, c. 24, d. 12, 5. What does 𝑛! (n factorial) represent in sequence formulas?, a. 𝑛 + (𝑛 − 1) + ⋯ + 1, b. 𝑛 ⋅ (𝑛 − 1) ⋅ (𝑛 − 2) … ⋅ 1, c. 𝑛, 𝑛, 6. What is the sum of the first 4 terms of the sequence: an = 2n ?, a. 8, b. 20, c. 10, d. 16, 7. Find the 12th term (𝑎12) of an arithmetic sequence where 𝑎1 = 5 and 𝑑 = 3., a. 38, b. 41, c. 35, d. 44, 8. What is the next term in the sequence: 4, 9, 14, 19, ...?, a. 23, b. 24, c. 25, d. 29, 9. Which of the following is a geometric sequence?, a. 2, 4, 6, 8, ..., b. 3, 9, 27, 81, ..., c. 10, 7, 4, 1, ..., d. 5, 10, 15, 20, ..., 10. Calculate the common difference (𝑑) for the sequence: 20, 15, 10, 5, ..., a. 5, b. −5, c. 10, d. −10, 11. Which formula represents the 𝑛th term of an arithmetic sequence?, a. 𝑎𝑛 = 𝑎1 + (𝑛 − 1)𝑑, b. 𝑎𝑛 = 𝑎1 ⋅ 𝑟𝑛−1, c. 𝑎𝑛 = 𝑛2, d. 𝑎𝑛 = 𝑎1 + d, 12. Which formula is used to find the sum of a finite arithmetic series?, , , b. 𝑎𝑛 = 𝑎1 + (𝑛 − 1)𝑑, c. 𝑎𝑛 = 𝑎1 ⋅ 𝑟𝑛−1, 13. Find the sum of the first 6 terms of an arithmetic sequence where 𝑎1 = 4 and 𝑎6 = 24., a. 168, b. 84, c. 28, d. 60, 14. If the ratio between consecutive terms is constant, the sequence is:, a. Arithmetic, b. Geometric, c. Quadratic, d. Linear, 15. If the difference between any two consecutive terms is constant, the sequence is:, a. Arithmetic, b. Geometric, c. Infinite, d. Divergent, 16. In an arithmetic sequence, if 𝑎1 = 12 and 𝑑 = −2, what is 𝑎5?, a. 10, b. 4, c. 2, d. 6, 17. The formula 𝑎𝑛 = 𝑎1 ⋅ 𝑟𝑛−1 represents which type of sequences?, a. Arithmetic, b. Geometric, c. Fibonacci, d. Harmonic, 18. Find the common ratio (𝑟) for the sequence: 100, 20, 4, 0.8, ..., a. 5, b. 0.2, c. 0.5, d. 80, 19. If a sequence is 5, 15, 45, 135, ..., what is the common ratio?, a. 3, b. 10, c. 5, d. 0.33, 20. Find the 5th term of the geometric sequence: 2, 8, 32, ..., a. 128, b. 256, c. 512, d. 1024, 21. Can the sum of an infinite geometric series be found, if the common ratio |𝑟| ≥ 1?, a. Yes, b. No, 22. Find the sum of the infinite geometric series: 20 + 10 + 5 + 2.5 + …, a. 30, b. 35, c. 40, d. Divergent, 23. If you roll a six-sided die, what is the probability of rolling a '4'?, a. 1/2, b. 1/6, c. 4/6, d. 1, 24. An event in probability is defined as:, a. All possible outcomes, b. A subset of the sample space, c. The total number of trials, d. A guaranteed result, 25. The set of all possible outcomes of a random experiment is called the:, a. Event, b. Sample Space, c. Trial, d. Intersection, 26. What is the probability of an impossible event?, a. 1, b. 0.5, c. 0, d. −1, 27. A bag contains 5 red marbles and 5 blue marbles. What is the probability of picking a blue marble?, a. 0.2, b. 0.5, c. 1.0, d. 0.25, 28. How many total outcomes are there when flipping three coins?, a. 3, b. 6, c. 8, d. 9, 29. If you roll two standard dice, how many possible outcomes are there ?, a. 12, b. 16, c. 24, d. 36, 30. If you roll two dice, what is the probability that the sum is 3?, a. 1/36, b. 1/18, c. 3/36, d. 1/12, 31. If 𝑃(𝐴) = 0.85, find 𝑃(not 𝐴):, a. 0.15, b. 0.85, c. 1.85, d. 0.05, 32. For two independent events where 𝑃(𝐴) = 0.2 and 𝑃(𝐵) = 0.3, find 𝑃(𝐴 and 𝐵):, a. 0.5, b. 0.1, c. 0.06, d. 0.6, 33. The distance from the center to the focus of an ellipse is denoted by:, a. 𝑎, b. 𝑏, c. 𝑐, d. ℎ, 34. The two fixed points that define an ellipse are called:, a. Vertices, b. Foci, c. Centers, d. Directrices, , a. (5, −1), b. (−5, 1), c. (25, 4), d. (0, 0), , a. 8, b. 7, c. 16, d. 14, , a. (±4,0), b. (0, ±5), c. (±16,0), d. (4,5), 38. Find the common difference in an arithmetic sequence where 𝑎1 = 10 and 𝑎4 = 25., a. 5, b. 15, c. 3, d. 7.5, 39. Expand and evaluate: ∑3k=1 (𝑘 + 2), a. 6, b. 9, c. 12, d. 15, 40. What is the 4th term of a geometric sequence if 𝑎1 = 1000 and 𝑟 = 0.1?, a. 100, b. 10, c. 1, d. 0.1, 41. Find the sum of the first 100 positive integers ( 1 + 2 + 3 … + 100)., a. 5000, b. 5050, c. 5100, d. 10000, 42. A spinner has 8 equal sections numbered 1-8. What is the probability of landing on an even number?, a. 1/4, b. 1/2, c. 3/8, d. 5/8, 43. If you draw one card from a deck of 52, what is the probability it is an Ace?, a. 1/13, b. 1/52, c. 1/4, d. 4/13, 44. If you draw one card from a deck of 52, what is the probability it is a Heart?, a. 1/13, b. 1/52, c. 1/4, d. 4/13, , a. (±4,0), b. (0, ±6), c. (±16,0), d. (0, ±36), , a. (±3,0), b. (0, ±2), c. (±9,0), d. (3,2).

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