Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/JEE/Mathematics

1.What is Fibonacci series
2.What is the cube root of unity

Asked by rbhatt16 12th October 2017, 5:16 PM
Answered by Expert
Answer:
begin mathsize 16px style Fibonacci space Sequence space is space the space sequence space such space that space next space number space is space always sum space of space the space two space numbers space before space it. For space example colon 0 comma space 1 comma space 1 comma space 2 comma space 3 comma space 5 comma space 8 comma........... Here comma space first space term space is space 0. second space term space is space 1 space plus space 1 space equals space 2 Third space term space is space 1 space plus space 2 space equals space 3 and space so space on.......... Complex space numbers space are space in space the space form space of space straight a thin space plus thin space bi where space straight a space is space real space part space and space straight b space is space the space imaginary space part. Complex space cube space root space of space unity space means comma straight x cubed space equals space 1 rightwards double arrow straight x cubed space minus space 1 space equals space 0 rightwards double arrow open parentheses straight x minus 1 close parentheses open parentheses straight x squared plus straight x plus 1 close parentheses equals 0 rightwards double arrow straight x minus 1 space equals space 0 space or space straight x squared plus straight x plus 1 space equals space 0 straight x space equals space 1 space or space straight x squared plus straight x plus 1 space equals space 0 Consider comma straight x squared plus straight x plus 1 space equals space 0 If space we space solve space it space by space quadratic space equations space using space formula space we space get straight x space equals space fraction numerator negative 1 space plus-or-minus space square root of 1 minus 4 cross times 1 cross times 1 end root over denominator 2 end fraction straight x space equals space fraction numerator negative 1 space plus-or-minus space square root of negative 3 end root over denominator 2 end fraction straight x space equals fraction numerator negative 1 space plus-or-minus space square root of 3 space straight i over denominator 2 end fraction space space space space space space space where space square root of negative 1 end root space equals space straight i end style
Answered by Expert 21st December 2017, 2:51 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: complex-numbers
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

Z1=(√3-1)+(√3+1)i Z2 =-√3+1 arg(Z1Z2)=?
18th April 2022, 11:22 AM
what is this √ i don't know
25th April 2022, 2:47 PM
solve
20th December 2022, 3:36 PM
If x+iy= a+ibc+id, then show that (x2+y2)2=a2+b2c2+d2 .
17th November 2023, 9:39 PM
express in the form of a+ib (i)(1-i)^4
8th January 2024, 10:35 AM
RELATED STUDY RESOURCES :
JEE QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

trigonometric equations Mole concept linear equations trigonometric ratios circle complex numbers functions integration electric field arithmetic progression

Latest Questions

CBSE X Biology
What is enzyme  
Asked by Sureshgowdayd548 28th October 2020, 10:50 PM
JEE Main Mathematics
The following pseudocode is executed using the “Paragraph words” dataset. At the end of the execution, CountB captures the number of verbs with letter count less than the average letter count of verbs. But the pseudocode may have mistakes in one or more lines. Identify all such lines (if any). It is a Multiple Select Question (MSQ).  Error in Line 4  Error in Line 8  Error in Line 11  Error at Line 12  Error in Line 17  Error at Line 18  Error in Line 21 The following pseudocode is executed using the “Words” table. What will be the value of A at the end of the execution?
Asked by amaladelsingh 28th October 2020, 10:24 PM
CBSE X Biology
I want a brief clarity on Taxonomy
Asked by reenacharan2008 28th October 2020, 9:11 PM

Chat with us on WhatsApp