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

WHICH EXPRESSION IS EQUIVALENT TO SIN 22 COS 18 + COS 22 SIN 18?
Three individuals form a partnership and agree too divide the profits equally. X invest -9,000 , Y invest 7,000, Z invest 4,000. How much less does X receive if
what is 1/9 of 60 equal
Mario drew a model to represent one third of the space in his bookcase. how could mario draw a model to represent all the space in his bookcase.
Video club A charged $10 for membership and $3 for movie rental. Video Club B charges $15 for membership and $2 per movie rental. For how many movie rentals wil
which is longer 635 millimeters or 535 centimeters ?
What is 0.8% written as a decimal
What is does the phrase foe to ambition.
if a pH of water is 5.3 then 4.3 is it 1.0 less acidic 1.0 less basic
Video club A charged $10 for membership and $3 for movie rental. Video Club B charges $15 for membership and $2 per movie rental. For how many movie rentals wil