If f(1)=9 and f(n+1)=-5f(n)-1 then find the value of f(4) Answer:

Find f(2): We are given that f(1) = 9. We need to find f(4) using the recursive formula f(n+1) = -5f(n) - 1. Let's start by finding f(2). Using the recursive formula, we substitute n with 1 to find f(2): f(2) = -5f(1) - 1 f(2) = -5(9) - 1 f(2) = -45 - 1 f(2) = -46Find f(3): Now that we have f(2), we can find f(3) using the same recursive formula. Substitute n with 2 to find f(3): f(3) = -5f(2) - 1 f(3) = -5(-46) - 1 f(3) = 230 - 1 f(3) = 229Find f(4): Finally, we can find f(4) using the value of f(3) we just calculated. Substitute n with 3 to find f(4): f(4) = -5f(3) - 1 f(4) = -5(229) - 1 f(4) = -1145 - 1 f(4) = -1146

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If
f(1)=9 and
f(n+1)=-5f(n)-1 then find the value of
f(4)
Answer:

If $f(1)=9$ and $f(n+1)=-5 f(n)-1$ then find the value of $f(4)$ $\newline$ Answer:

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Q. If

f(1)=9

and

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

then find the value of

f(4)

\newline

Answer:

Find $f(2)$ : We are given that $f(1) = 9$ . We need to find $f(4)$ using the recursive formula $f(n+1) = -5f(n) - 1$ . Let's start by finding $f(2)$ . Using the recursive formula, we substitute $n$ with $1$ to find $f(2)$ : $f(2) = -5f(1) - 1$ $f(2) = -5(9) - 1$ $f(1) = 9$ $0$ $f(1) = 9$ $1$
Find $f(3)$ : Now that we have $f(2)$ , we can find $f(3)$ using the same recursive formula. $\newline$ Substitute $n$ with $2$ to find $f(3)$ : $\newline$ $f(3) = -5f(2) - 1$ $\newline$ $f(3) = -5(-46) - 1$ $\newline$ $f(3) = 230 - 1$ $\newline$ $f(3) = 229$
Find $f(4)$ : Finally, we can find $f(4)$ using the value of $f(3)$ we just calculated. $\newline$ Substitute $n$ with $3$ to find $f(4)$ : $\newline$ $f(4) = -5f(3) - 1$ $\newline$ $f(4) = -5(229) - 1$ $\newline$ $f(4) = -1145 - 1$ $\newline$ $f(4) = -1146$