Practice 9.1-9.3 Pre-Calculus Name: Show all your work necessary to complete the problem and write your final answer in the box. 1) Write the first five terms of the sequence On = 1 n 2) Assuming n begins at 1, write an expression for the apparent n term of the sequence: 1. 2, 5, 10, 17, 26. 3) Write the first five terms of the sequence ax+ 1 = 3a, - 1 ifa, = 2. 2. 14! 4) Simplify 2! (12!) 5) Find the sum _=1 (k3 - k) 3. 4. 6) Find a formula for an for the arithmetic sequence when d = -2 and a, = 5. 5. 7) Find a formula for an for the arithmetic sequence when a, = 22 and ag = 46. 6. 7.6. 7. 8) Find the sum of the first 50 positive integers. (Use a shortcut we learned). 9) Find the sum 50 9. (2k - 3) K=1 10) Write the first five terms of the geometric sequence with r = = and a, = 243. 10 11) Write an expression for the n term of a geometric sequence with a] = 2 and r = 3. 12) Write an expression for the geometric sequence: 3v2, 6,6v2, 12 ... 11. For #13-15, state whether the sequence is arithmetic, geometric or neither. 12 13) -4, 3, 10, 17, 24..13. 14) 200, 160, 128, 102.4... 15) 1, 1, 2, 3, 5, 8.. 14 16) Find the sum of the finite geometric series En-1 2()"-1 15 16 17) Use summation notation to write the series 4 + 8 + 16 + 32 + 64 + ... 17 18) Find the sum of the infinite geometric series 2k=0 4(=)* 18 19) Write the first five terms of the geometric sequence that follows the rule an = (-1)"+1(3)" 19 20 20) Use summation notation to write the series 2+4 +6 + 8 + 10