1) Which of the following is the general formula for the nth term of an arithmetic sequence? a) a_n = a_1 + (n-1)d b) a_n = a_1 +d c) a_n = a_1 + n^2d d) a_n = a_1 + a_n/2 2) What is the common difference in an arithmetic sequence? a) The first term of the sequence b) The number added to each term to get the next term c) The difference between the largest and smallest terms d) The ratio between consecutive terms 3) In an arithmetic sequence where the first term a_1 = 5and the common difference d = 3, what is the 4th term? a) 8 b) 11 c) 14 d) 17 4) 4. In an arithmetic sequence, the first term is 4 and the common difference is 3. Which of the following represents the 3rd term of the sequence? a) 6 b) 7 c) 10 d) 9 5) 5. Given the arithmetic sequence 2, 7, 12, 17, ..., what is the 10th term of the sequence? a) 47 b) 50 c) 52 d) 55 6) 6. The 7th term of an arithmetic sequence is 30, and the common difference is 5. What is the first term? a) 0 b) 5 c) 10 d) 15 7) In the arithmetic sequence 3, 9, 15, 21, ..., analyze the pattern and determine which of the following statements is true. a) The common difference is 3 b) The sequence is increasing by a constant of 5 c) The common difference is 6 d) The sequence is neither arithmetic nor geometric 8) Given the arithmetic sequence 8, 11, 14, 17, ..., which of the following is true? a) The common difference is 434 b) The common difference is 3 c) The sequence decreases by 3 each time d) The first term is 9 9) Consider two arithmetic sequences: Sequence A has a common difference of 4, and Sequence B has a common difference of 5. Which sequence will grow faster, and why? a) Sequence A, because its terms are increasing more slowly b) Sequence B, because the common difference is larger c) Both will grow at the same rate d) It depends on the first term of each sequence 10) Two students are comparing arithmetic sequences. Student A claims that an arithmetic sequence with a common difference of 10 will always grow faster than a sequence with a common difference of 5. Is Student A correct? a) Yes, because a larger common difference means larger terms b) No, because both sequences can grow at the same rate if the first terms are different c) Yes, because the common difference determines the growth rate d) No, the growth of a sequence depends solely on the first term 11) Design an arithmetic sequence where the 5th term is 20 and the common difference is 4. What is the first term? a) 4 b) 5 c) 6 d) 7 12) Create an arithmetic sequence where the first term is 12 and the common difference is -2. What is the 5th term of this sequence? a) 2 b) 6 c) 8 d) 4

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