fr2ogliluruth fr2ogliluruth
  • 03-12-2016
  • Mathematics
contestada

Find a polynomial function f(n) such that f(1), f(2), ... , f(8) is the following sequence.2, 8, 14, 20, 26, 32, 38, 44

Respuesta :

faiqraees
faiqraees faiqraees
  • 03-12-2016
We can recognize the sequence is an arithmetic progression by noticing that the common difference between each term is 6.
[tex]f(n) = a+(n-1)d[/tex]
where f(n) is the sequence 
n is the term number
d is the common difference 
and a is the starting term

We are well aware that our starting term, and hence a, is 2 and our difference, and hence d, is 6.
So our polynomial function is 
[tex]f(n) = 2+6(n-1)[/tex]

Answer Link

Otras preguntas

Your weight on the Moon is relative to your weight on Earth. Neil Armstrong weighed 360 lbs. In his moon gear while on the Earth, but on the Moon he only weighe
How do people use verbal irony?
Which of the following exponential functions goes through the points (1, 6) and (2, 12)? f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x
help please paper due tomorrow ​
PLZ HELP FAST Biotechnology is a growing field of applied biology. Many crops such as corn have been engineered to be resistant to herbicides. Therefore farmer
What are the three ways that an object can accelerate
Which of the following best describes David's painting Death of Marat?
needed help with this one too
what's the difference plz tell me
if a runner who runs at a constant speed of p miles per hour runs a mile in exactly p minutes what is the integer closest to the value p