If f(1)=8 and f(n+1)=5f(n)-1 then find the value of f(5). Answer:

Find f(2): We are given that f(1) = 8. We need to find f(5) using the recursive formula f(n+1) = 5f(n) - 1. Let's start by finding f(2). f(2) = 5f(1) - 1 f(2) = 5(8) - 1 f(2) = 40 - 1 f(2) = 39Find f(3): Now that we have f(2), we can find f(3) using the same recursive formula. f(3) = 5f(2) - 1 f(3) = 5(39) - 1 f(3) = 195 - 1 f(3) = 194Calculate f(4): Next, we calculate f(4) using the value of f(3). f(4) = 5f(3) - 1 f(4) = 5(194) - 1 f(4) = 970 - 1 f(4) = 969Find f(5): Finally, we find f(5) using the value of f(4). f(5) = 5f(4) - 1 f(5) = 5(969) - 1 f(5) = 4845 - 1 f(5) = 4844

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If
f(1)=8 and
f(n+1)=5f(n)-1 then find the value of
f(5).
Answer:

If $f(1)=8$ and $f(n+1)=5 f(n)-1$ then find the value of $f(5)$ . $\newline$ Answer:

View step-by-step help

Full solution

Q. If

f(1)=8

and

f(n+1)=5 f(n)-1

then find the value of

f(5)

\newline

Answer:

Find $f(2)$ : We are given that $f(1) = 8$ . We need to find $f(5)$ using the recursive formula $f(n+1) = 5f(n) - 1$ . Let's start by finding $f(2)$ . $\newline$ $f(2) = 5f(1) - 1$ $\newline$ $f(2) = 5(8) - 1$ $\newline$ $f(2) = 40 - 1$ $\newline$ $f(2) = 39$
Find $f(3)$ : Now that we have $f(2)$ , we can find $f(3)$ using the same recursive formula. $\newline$ $f(3) = 5f(2) - 1$ $\newline$ $f(3) = 5(39) - 1$ $\newline$ $f(3) = 195 - 1$ $\newline$ $f(3) = 194$
Calculate $f(4)$ : Next, we calculate $f(4)$ using the value of $f(3)$ .
$f(4) = 5f(3) - 1$
$f(4) = 5(194) - 1$
$f(4) = 970 - 1$
$f(4) = 969$
Find $f(5)$ : Finally, we find $f(5)$ using the value of $f(4)$ .
$f(5) = 5f(4) - 1$
$f(5) = 5(969) - 1$
$f(5) = 4845 - 1$
$f(5) = 4844$