gilbertazavedo72
gilbertazavedo72 gilbertazavedo72
  • 01-06-2020
  • Mathematics
contestada

If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the value of n for which xn + xn+1 = 89 ?

Respuesta :

maxwellekoh
maxwellekoh maxwellekoh
  • 04-06-2020

Answer:

11

Step-by-step explanation:

Looking at Fibonacci numbers ;

We have:

Than X1 =1 ; X2 = 1; X3 = 2

Xn+1 = Xn + Xn-1

X3 = X2 + X1 = 1+1 =2; X4 = X3 + X2 = 2 +1 = 3; X5= X4+X3 = 3+2 = 5; X6 = X5 + X4 = 5 + 3 = 8; X7 = X6 +X5 = 8 +5 = 13; X8 = X7 + X6 = 13 + 8 = 21; X9 = X8 + X7 = 21+ 13 = 34 ; X10 = X9 + X8 = 34 +21 = 55 ; X11 = X10 + X9 = 55 +34 = 89

We see that ; X11 gives 89 so the value of n = 11

Answer Link

Otras preguntas

True or False? The segments below could form a triangle. A________C is 9 C_____B is 4 B_______________A is 15
Name one problem that led to the Civil War.
What does the judicial branch do?
What type of formula represents the simplest whole number ratio of atoms of the elements in a compound? (1) molecular formula (2) condensed formula (3) empiric
Which statement describes one acid-base theory? (1) An acid is an H+ acceptor, and a base is an H+ donor. (2) An acid is an H+ donor,. and a base is an H+ accep
What movement tried to end racial discrimination?
How/why do copy machines produce o zone?
what are the functions of Holloware
A triangle has two sides of length 6 and 9. What could the length of the third side be? Check all that apply, A. 10 B. 7 C.4 D.2 E.15 F.12
What is an amendment?