anonymous
  • anonymous
if f(1)=2 and f(n) = f(n-1) +1/2 for all integers n>1, f(101)=?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
What is the y astymtote?
anonymous
  • anonymous
there's no y
anonymous
  • anonymous
x?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
that's the whole question I have typed nothing else is given except choices of answer: 1) 49 2) 50 3) 51 4) 52 5) 53
apoorvk
  • apoorvk
52. |dw:1332374600176:dw|
apoorvk
  • apoorvk
yes 4). 52.
anonymous
  • anonymous
how did you find it? I can't read what you drew
across
  • across
It follows from the fact that\[f(n)=\frac{n-1}{2}+2\]
anonymous
  • anonymous
@across so the answer should be 52? btw how did you find the formula?
across
  • across
You are told that \(f(1)=2\) and \(f(n)=f(n-1)+1/2\). From this, you can easily observe that \(f(101)=f(100)+1/2=f(99)+1/2+1/2=\) \(f(98)+1/2+1/2+1/2=\cdots=2+1/2+\cdots+1/2\), where there are a number of \(n / 2\) \(1/2\)'s. Hence, \(f(n)=\frac{n-1}{2}+2\).

Looking for something else?

Not the answer you are looking for? Search for more explanations.