Information For questions 1 - 3, use DeMoivre's theorem to find the indicated nth roots. Question 1 Find the cube roots of 3 + 4i.
Information For questions 1 - 3, use DeMoivre's theorem to find the indicated nth roots. Question 1 Find the cube roots of 3 + 4i. Not yet answered Select one: Points out of O a. 1.63 + 0.527, -1.27 + 1.15/, 0.36 - 1.67/ 33.33 O b. -1.63 + 0.52i, -1.27 + 1.15/, -0.36 - 1.67/ O c. 1.63 + 0.52i, -1.27 + 1.15/, -0.36 - 1.67/ O d. -1.63 + 0.527, -1.27 + 1.15/, 0.36 - 1.67/ Question 2 Find the fifth roots of 32i. Not yet answered Select one: Points out of O a. 2i, 1 1.9+0.62/, +1.18-1.62/ 33.33 O b. i, +1.9+0.62/, +1.18-1.62/ O c. i, +1.9-0.62/, + 1. 18+1.62/ O d. 2i, +1.9-0.62/, +1. 18+1.62/Question 3 Find the sixth roots of -64. Not yet answered Select one: Points out of O a. 12i,+1ti 33.34 O b. ti,+ 3ti Reflection: Confidence Towards Polar Numbers O d. +2i, + 3tiInformation For questions 1 - 4, find the recursive formula for the given sequence. Question 1 3, 6, 9, 12, 15, ... Not yet answered Select one: Points out of O a. a1 = 3, ak = 3ak-1 8.33 O b. 21 = 3, ak = ak- 1+ 3 O c. a1 = 3, ak = ak - 1 + 2 O d. 21 = 3, ak = 2ak- 1 Question 2 1, 4, 16, 64, ... Not yet answered Select one: Points out of O a. a1 = 1, ak= 4ak- 1 + 3 8.33 O b. 21 = 1, ak = ak- 1+ 4 O c. a = 1, ak= 4ak- 1 O d. 21 = 1, ak= 3ak- 1Question 3 3, 6, 12, 24, 48, ... Not yet answered Select one: Points out of O a. 21 = 3, ak= 2ak- 1 8.33 O b. 21 = 3, ak = ak- 1+ 3 O c. 21 = 3, ak = ak- 1 + 2 O d. 21 = 3, ak = 3ak- 1 Question 4 2, 9, 16, 23, 30, ... Not yet answered Select one: Points out of O a. a1 = 2, ak= 7ak-1- 7 8.33 O b. 21 = 2, ak= ak- 1+ 5 O c. a1 = 2, ak= ak- 1 + 7 O d. a1 = 2, ak= 5ak-1 - 5Information For questions 5 - 6, find the first six terms of the sequence defined by the given recursive formula. Question 5 C1 = 4 , C2 = 18 , CK = 2 CK - 1 + 5 CK - 2 Not yet answered Select one: Points out of O a. 4, 18, 98, 526, 2826, 15182 8.33 O b. 4, 18, 56, 202, 684, 2378 O c. 4, 18, 36, 72, 144, 288 O d. 4, 18, 90, 450, 2250, 5625 Question 6 C1 = 3, C2 = 6, CK = 3CK- 1+ CK- 2- 3 Not yet answered Select one: Points out of O a. 3, 6, 24, 75, 246, 810 8.33 O b. 3, 6, 15, 54, 183, 609 O c. 3, 6, 18, 57, 186, 612 O d. 3, 6, 18, 54, 162, 486Information For questions 7 - 10, a recursive formula is given. Find the requested term. Question 7 What is the 7th term of the sequence defined by a, = 1, ak = 2ak- 1 + 3? Not yet answered Select one: Points out of O a. 253 8.33 O b. 377 O c. 509 O d. 125 Question 8 What is the 8th term of the sequence defined by a, = 2, ak = 4ak- 1 - 2? Not yet answered Select one: Points out of O a. 21,846 8.33 O b. 87,382 O c. 5462 O d. 1366Question 9 What is the 9th term of the sequence defined by a, = 3,ak = 3ak-1 - 4? Not yet answered Select one: Points out of O a. 6563 8.34 O b. 177, 149 O c. 59,051 O d. 19,685 Question 10 What is the 10th term of the sequence defined by a1 = 4, ak = 5ak- 1 - 5? Not yet answered Select one: Points out of O a. 4,572,395 8.34 O b. 5,371,095 O c. 214,845 O d. 1,074,220Question 11 Find the recursive formula for the sequence that begins with 1, 5, 17, 53. Not yet answered Select one: Points out of O a. a1 = 1, ak = 3ak- 1 + 2 8.34 O b. a1 = 1, ak = 2ak- 1 + 1 O c. 21 = 1, ak = 3ak- 1 + 1 O d. 21 = 1, ak = 2ak- 1 + 3 Question 12 Find the recursive formula for the sequence that begins with 2, 11, 56, 281. Not yet answered Select one: Points out of O a. a1 = 2, ak = 6ak- 1 - 3 8.34 O b. 21 = 2, ak = 5ak- 1+ 3 O c. a, = 2, ak = 6ak- 1 - 1 O d. a1 = 2, ak = 5ak- 1 + 1
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