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

Write a brief definition for the term immigrant ​
Can flat characters become memorable or important throughout the course of a story?
cjvnfeuhdfyguvfhvdfhuvn Helppp
on 4 (Mandatory) (1 point) You have a writing assignment for your philosophy class, and you need to generate a good topic to write about. You start by freewriti
Question 3 (1 point) Which of the following individuals would agree that each state should be allowed to determine for itself the extent to which national auth
choose one! What action destroys topsoil 1)mowing land 2)adding nutrients to soil 3)plowing land without replantation 4)sowing seeds in land
hey i need some help FAST plzz
Using a job site such as Indeed or Monster, locate three job ads for people in your academic major. In each ad, identify references to writing and communication
Is Bytes a scalar or vector?​
I dont understand this can you help me please. ​