Question

f(2)=36 and f(5)54, what's f(8)?

Answer 1

what's the difference between 36 and 54?

Answer 2

I'm not sure that the question can be solved with these information, unless f(x) is a linear function..

Answer 3

it's just an arithmetic sequence, I'm assuming you've done some of those already

Answer 4

I think I got your point , but I'm still confused about the ability to solve for f(8), I mean even if the difference equals 8, what this has to do with f(8) it's

Answer 5

If you have an explaination I will so thankful :)

Answer 6

36 is 2nd term
54 is the 5th term

f(8) is the 8th term

between the 2nd term and the 5th term, there are 2 other terms \(\bf 36, \square, \square, 54, \square,\square,\textrm{ 8th term}\)

Answer 7

so you find the difference between 2 and 5, then from that you can get the "common ratio" between terms

we know that in an arithmetic sequence, to get from the 2nd to the 5th
you'd need to apply the common ratio
once to get the 3rd term
once more to get the 4th term
and once lastly to get the 5th term

so we use the common ratio 3 times to get 3terms farther down the road
so we can grab the difference between the 2nd and 5th, and divide by 3 to get the common ratio

Answer 8

mmmmm I think I got your point, now according to that the answer must be (f(2)+6*6) then,, thanks alot for help D:

Answer 9

yw