Answered step by step
Verified Expert Solution
Link Copied!

Question

...
1 Approved Answer

Information For questions 1 - 3, use DeMoivre's theorem to find the indicated nth roots. Question 1 Find the cube roots of 3 + 4i.

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
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

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Entrepreneurship

Authors: Andrew Zacharakis, William D Bygrave

5th Edition

9781119563099

Students also viewed these Mathematics questions