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1816735-160020Arithmetic Sequences and Series Worksheet 020000Arithmetic Sequences and Series Worksheet Pre-CalculusName________________11.2 HomeworkDate_________________Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference.1. an=8+13n2. an=1n+13. an=2n+nFind the nth term of the sequence, then find the 20th term.4. a1 = 2 and d = 35. -6, -4, -2,….6. a1 = 0 and d = 237. 25, 115, -415,… Find the nth term of the sequence.8. a1 = -4 and a5 = 169. a3 = 94 and a6 = 8510. a5 = 190 and a10 = 115 Find the nth term of the sequence.11. a6 = -38 and a11 = -7312. a3 = 19 and a15 = -1.713. a5 = 16 and a14 = 38.5Find the indicated nth partial sum (Sn) of the arithmetic sequence.14. 8, 20, 32, 44,… n = 1015. a1 = -6, d = 4, n = 5016. 100 + 105 + 110 +…+22017. 0.5 + 1.3 + 2.1 + …+ 70.118. a1 = 3, d = 2, n = 1219. a1 = 100, d = -5, n = 820. a2 = 8, a5 = 9.5, n = 1221. -3+-32+0+…+30Find the sums of the following arithmetic series in summation notation.22. 23. 24. 25. 26. 27. 28. How many terms of the arithmetic sequence -2, 3, 8,… must be added to get 1573?29. How many terms of the arithmetic sequence 15, 12, 9,…must be added to get -39?30. How many terms of the arithmetic sequence -1, 2, 5,… must be added to get 609?Answers1. 21, 34, 47, 60, 73; Arithmetic; d = 132. 12, 13, 14, 15, 16; Not Arithmetic3. 3, 6, 11, 20, 37; Not Arithmetic4. an = 3n – 1; a20 = 595. an = 2n – 8 ; a20 = 326. an=23n-23; a20=3837. an=-13n+1115; a20=-89158. an = 5n – 9 9. an = -3n + 10310. an = -15n + 26511. an = -7n + 4 12. an = -1.725n + 24.17513. an = 2.5n + 3.5 14. S10 = 62015. S50 = 4,60016. S25 = 4,00017. S88 = 3,106.418. S12 = 16819. S8 = 66020. S12 = 12321. S23=621222. S50 = 1,27523. S50 = 7,55024. S426 = 125,03125. S151 = 64,17526. S = 35527. S = 25928. n = 2629. n = 1330. n = 21 ................
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