If f(1)=4,f(2)=1 and f(n)=f(n-1)-f(n-2) then find the value of f(5). Answer:

Find f(3): Use the given initial conditions to find f(3). The recursive formula is f(n) = f(n-1) - f(n-2). We know f(1) = 4 and f(2) = 1. Calculate f(3) using the formula. f(3) = f(2) - f(1) = 1 - 4 = -3Calculate f(4): Use the recursive formula to find f(4). We now have f(2) = 1 and f(3) = -3. Calculate f(4) using the formula. f(4) = f(3) - f(2) = -3 - 1 = -4Determine f(5): Use the recursive formula to find f(5). We now have f(3) = -3 and f(4) = -4. Calculate f(5) using the formula. f(5) = f(4) - f(3) = -4 - (-3) = -4 + 3 = -1

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If
f(1)=4,f(2)=1 and
f(n)=f(n-1)-f(n-2) then find the value of
f(5).
Answer:

If $f(1)=4, f(2)=1$ and $f(n)=f(n-1)-f(n-2)$ then find the value of $f(5)$ . $\newline$ Answer:

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Math Problems

Grade 8

Write and solve direct variation equations

Full solution

Q. If

f(1)=4, f(2)=1

and

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

then find the value of

f(5)

\newline

Answer:

Find $f(3)$ : Use the given initial conditions to find $f(3)$ . The recursive formula is $f(n) = f(n-1) - f(n-2)$ . We know $f(1) = 4$ and $f(2) = 1$ . Calculate $f(3)$ using the formula. $f(3) = f(2) - f(1) = 1 - 4 = -3$
Calculate $f(4)$ : Use the recursive formula to find $f(4)$ . We now have $f(2) = 1$ and $f(3) = -3$ . Calculate $f(4)$ using the formula. $f(4) = f(3) - f(2) = -3 - 1 = -4$
Determine $f(5)$ : Use the recursive formula to find $f(5)$ . We now have $f(3) = -3$ and $f(4) = -4$ . Calculate $f(5)$ using the formula. $f(5) = f(4) - f(3) = -4 - (-3) = -4 + 3 = -1$