robertoreyes200518 robertoreyes200518
  • 02-08-2021
  • Mathematics
contestada

If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Respuesta :

coolstick
coolstick coolstick
  • 02-08-2021

Answer:

26, 42, 68

Step-by-step explanation:

In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that

a₁=2

a₂=4

a₃=6

a₄=10

a₅=16

What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6

Therefore,

a₆ = a₄+a₅ = 10+16 = 26

a₇ = a₅+a₆ = 16 + 26 = 42

a₈ = a₆+a₇ = 26 + 42 = 68

Answer Link

Otras preguntas

The work of brain mind interface is to
b) Even though the slide was at the correct magnification, the student could not see the chromosomes in the dividing cells. State what could be done to the slid
which of the following statements regarding the health of diverse population groups is true
Temperature and kinetic energy are ___________ proportional. A adirectly B directly C indirectly
WHAT IS THE DEFINITION OF AN ENERGY EFFICIENT ZONE
what is the square rout of 6
12 Which amendment was affected MOST by the Civil War?
Si units are the modern form of the A.geological system of measurement B.metric system of measurement C. US Customary System of measurement D.Imperial units of
Please help. Choose the answer to the inference question
Evaluate. (n - 1)!, where n = 4