PROBLEM SET: SEQUENCE AND SERIES PROBLEM SET: SEQUENCE AND SERIES 1. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 2. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 3. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 4. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 5. Insert four arithmetic means between 34 and 98. 6. Find the 10th term of the geometric sequence 27, 81, 243,… 7. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 8. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 9. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 10. Insert two geometric means between 2 and -432. 11. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 12. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 13. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 14. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 15. Insert four arithmetic means between 34 and 98. 16. Find the 10th term of the geometric sequence 27, 81, 243,… 17. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 18. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 19. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 20. Insert two geometric means between 2 and -432. ---------------------------------------------------------------------------------- ---------------------------------------------------------------------------------- PROBLEM SET: SEQUENCE AND SERIES PROBLEM SET: SEQUENCE AND SERIES 1. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 2. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 3. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 4. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 5. Insert four arithmetic means between 34 and 98. 6. Find the 10th term of the geometric sequence 27, 81, 243,… 7. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 8. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 9. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 10. Insert two geometric means between 2 and -432. 11. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 12. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 13. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 14. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 15. Insert four arithmetic means between 34 and 98. 16. Find the 10th term of the geometric sequence 27, 81, 243,… 17. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 18. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 19. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 20. Insert two geometric means between 2 and -432. ---------------------------------------------------------------------------------- ---------------------------------------------------------------------------------- PROBLEM SET: SEQUENCE AND SERIES PROBLEM SET: SEQUENCE AND SERIES 1. 11. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 12. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 13. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 14. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 15. Insert four arithmetic means between 34 and 98. 16. Find the 10th term of the geometric sequence 27, 81, 243,… 17. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 18. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 19. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 20. Insert two geometric means between 2 and -432. Find the first term of the arithmetic sequence given 𝑎10 = 32 and the common difference is 3. 2. What is the 15th term of the sequence 7, 13, 19, 25, 31, …? 3. Write the first five terms of the arithmetic sequence given 𝑎1 = 33 and d = -8. 4. Find the sum of the first 20 terms of the arithmetic series -2 + 3 + 8 + 13 + … 5. Insert four arithmetic means between 34 and 98. 6. Find the 10th term of the geometric sequence 27, 81, 243,… 7. Write the next 3 terms of the following sequence. a. 1, -6, 36, -216,… b. 2, 8, 32, 128,… c. r = 2, 𝑎1 = 2 d. r = -3 , 𝑎1 = 12 8. Find the next 5 terms of the geometric sequence given 𝑎𝑛 = 4(2)𝑛−1 . 9. Find the sum of the first 6 terms geometric sequence 7, -21, 63, -189,… 10. Insert two geometric means between 2 and -432.