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

what was the source of the great zimbabwe's wealth?
In humans, the effect of the hormone calcitonin is to ________. in humans, the effect of the hormone calcitonin is to ________. decrease mitosis of chondrocytes
Voles possessing the long version allele of avpr1a are:
∠ABC≅ A. ∠NMP B. ∠MNP C. ∠NPM D. ∠PMN
What is the weight of the 2 liter jug?
A cochlea is a spiral tube in the inner ear containing nerve endings necessary for hearing. a. True b. False
the second stage of the writing process includes?
What event in his life did frederick douglass find to be "remarkable"? a.having the opportunity to travel the country b.being invited to study with the master's
Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?
When carlos's grandfather migrated to the united states, he had completed six years of schooling and was an agricultural worker in california. carlos's father c