If f(1)=9 and f(n)=nf(n-1)-2 then find the value of f(5). Answer:

Given f(1): We are given f(1) = 9 and the recursive formula f(n) = nf(n-1) - 2. To find f(5), we need to find the values of f(2), f(3), and f(4) first, using the recursive formula.Find f(2): Let's find f(2) using the formula: f(2) = 2f(1) - 2 = 2(9) - 2 = 18 - 2 = 16.Find f(3): Next, we find f(3) using the value of f(2): f(3) = 3f(2) - 2 = 3(16) - 2 = 48 - 2 = 46.Find f(4): Now, we find f(4) using the value of f(3): f(4) = 4f(3) - 2 = 4(46) - 2 = 184 - 2 = 182.Find f(5): Finally, we find f(5) using the value of f(4): f(5) = 5f(4) - 2 = 5(182) - 2 = 910 - 2 = 908.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If
f(1)=9 and
f(n)=nf(n-1)-2 then find the value of
f(5).
Answer:

If $f(1)=9$ and $f(n)=n f(n-1)-2$ then find the value of $f(5)$ . $\newline$ Answer:

View step-by-step help

Home

Math Problems

Precalculus

Find trigonometric ratios using multiple identities

Full solution

Q. If

f(1)=9

and

f(n)=n f(n-1)-2

then find the value of

f(5)

\newline

Answer:

Given $f(1)$ : We are given $f(1) = 9$ and the recursive formula $f(n) = nf(n-1) - 2$ . To find $f(5)$ , we need to find the values of $f(2)$ , $f(3)$ , and $f(4)$ first, using the recursive formula.
Find $f(2)$ : Let's find $f(2)$ using the formula: $\newline$ $f(2) = 2f(1) - 2 = 2(9) - 2 = 18 - 2 = 16$ .
Find $f(3)$ : Next, we find $f(3)$ using the value of $f(2)$ : $f(3) = 3f(2) - 2 = 3(16) - 2 = 48 - 2 = 46$ .
Find $f(4)$ : Now, we find $f(4)$ using the value of $f(3)$ : $f(4) = 4f(3) - 2 = 4(46) - 2 = 184 - 2 = 182$ .
Find $f(5)$ : Finally, we find $f(5)$ using the value of $f(4)$ : $f(5) = 5f(4) - 2 = 5(182) - 2 = 910 - 2 = 908$ .