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

A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.
Frederick taylor popularized the idea of improving work through observation and​ analysis, known as
find the area of the rhombus
calculate the following absolute values (|-1||-3|)^2
Luke is buying a car he will borrow $25,000 at a simple interest rate of 6% per yuear for 7 years how much interest will he pay altogether
What are some ways a new mining project will impact the area in which it is located
What is most likely the length of a telephone book
If you are good at geometry i would really appreciate it if you will help me answer my questions on my profile that i just posted. I will have more to come as w
2/3+1/6???????????????????
Frederick taylor popularized the idea of improving work through observation and​ analysis, known as