f(n)=41-5n Complete the recursive formula of f(n). {:[f(1)=◻],[f(n)=f(n-1)+]:}

Find First Term: Find the first term of the sequence. To find the first term, we substitute n = 1 into the function f(n) = 41 - 5n. f(1) = 41 - 5(1) = 41 - 5 = 36Find Second Term: Find the second term of the sequence to observe the pattern. Substitute n = 2 into the function f(n) = 41 - 5n. f(2) = 41 - 5(2) = 41 - 10 = 31Determine Difference: Determine the difference between consecutive terms. The difference between f(2) and f(1) is 31 - 36 = -5. This indicates that each term is 5 less than the previous term.Write Recursive Formula: Write the recursive formula using the difference found in Step 3. Since each term is 5 less than the previous term, the recursive formula is: f(n) = f(n-1) - 5, for n > 1Combine Initial Condition: Combine the initial condition with the recursive formula. The complete recursive formula for the sequence is: {:[f(1)=36],[f(n)=f(n-1)-5]:}, for n > 1

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Find derivatives of sine and cosine functions

Full solution

f(n)=41-5n

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Complete the recursive formula of

f(n)

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f(1)=\square

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f(n)=f(n-1)+\square

Find First Term: Find the first term of the sequence. $\newline$ To find the first term, we substitute $n = 1$ into the function $f(n) = 41 - 5n$ . $\newline$ $f(1) = 41 - 5(1) = 41 - 5 = 36$
Find Second Term: Find the second term of the sequence to observe the pattern. $\newline$ Substitute $n = 2$ into the function $f(n) = 41 - 5n$ . $\newline$ $f(2) = 41 - 5(2) = 41 - 10 = 31$
Determine Difference: Determine the difference between consecutive terms. $\newline$ The difference between $f(2)$ and $f(1)$ is $31 - 36 = -5$ . $\newline$ This indicates that each term is $5$ less than the previous term.
Write Recursive Formula: Write the recursive formula using the difference found in Step $3$ . $\newline$ Since each term is $5$ less than the previous term, the recursive formula is: $\newline$ $f(n) = f(n-1) - 5$ , for n > 1
Combine Initial Condition: Combine the initial condition with the recursive formula. $\newline$ The complete recursive formula for the sequence is: $\newline$ ${:[f(1)=36],[f(n)=f(n-1)-5]:}$ , for n > 1