Advanced Math/fibonacci

Advertisement

Expert: Sherry Wallin - 3/18/2010


Question
Show that F_n+3 + F_n =2F_n+2 and

F_n+3 - F_n =2F_n+1

Could you please explain to me of how to do the addition and substraction?


Thank you

Answer
ancy~
F_n+3+F_n = (F_n+2 + F_n+1) + F_n    since F_n+3 = F_n+2 + F_n+1
= [(F_n+1+F_n)+F_n+1]+ F_n               since F_n+1+F_n = F_n+2
= 2(F_n+1 + F_n)

F_n+3-F_n = (F_n+2 + F_n+1) -F_n     since F_n+3 = F_n+2 + F_n+1
= [(F_n+1+F_n)+F_n+1]- F_n              since F_n+1+F_n = F_n+2
= 2F_n+1

Math Prof  

Advanced Math

All Answers

Answers by Expert:

Ask Experts

Volunteer

Sherry Wallin

Expertise

I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

Experience

I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.

Education/Credentials
I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.

Awards and Honors
Master's GPA 3.56 Bachelor's GPA 3.34 Post grad work not degree related GPA 4.0

©2012 About.com, a part of The New York Times Company. All rights reserved.