anonymous
  • anonymous
What is the n th term of the series: 1+1+2+3+5+8+13+21+...
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
A(n) = A(n-1) + A(n-2) where a1 = 1 and a2 = 1 ?
anonymous
  • anonymous
In terms of n
anonymous
  • anonymous
Looks familiar....

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
N th term is given by the formulae A(n)=A(n+1)+A(n+2) N=(n+1)+(n+2)
anonymous
  • anonymous
???
anonymous
  • anonymous
I know |dw:1350296451209:dw|
anonymous
  • anonymous
But what in terms of n only.
anonymous
  • anonymous
it's funny that there is a question about the golden ratio now
anonymous
  • anonymous
it is fibonacci...
anonymous
  • anonymous
Yes
anonymous
  • anonymous
In terms of n ----> FIBOnnACCI
anonymous
  • anonymous
\[F_n-F_{n-1}-F_{n-2}=0 \ \ \ n\ge2\] setting up characterestic equation gives\[\lambda^2-\lambda-1=0\]wchich gives\[\phi_1=\frac{1+\sqrt{5}}{2}\]\[\phi_2=\frac{1-\sqrt{5}}{2}\]and so\[F_n=A\phi_1^n+B\phi_2^n\]and all u need is finding A and B using the values of \(F_0\) and \(F_1\)
anonymous
  • anonymous
anonymous
  • anonymous
@mukushla how |dw:1350297426979:dw|
anonymous
  • anonymous
oh I get it now...... thanx
anonymous
  • anonymous
@sauravshakya may you explain how ?
anonymous
  • anonymous
i thought i got it but i realized that i was wrong
anonymous
  • anonymous
ok got it .. nvm :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.