f(n)=93+4(n-1) Complete the recursive formula of f(n). {:[f(1)=◻],[f(n)=f(n-1)+]:}

Identify First Term: Identify the first term of the sequence using the explicit formula f(n)=93+4(n-1) by substituting n=1. Calculation: f(1) = 93 + 4(1-1) = 93 + 4(0) = 93 + 0 = 93.Recognize Arithmetic Sequence: Recognize that the sequence defined by f(n)=93+4(n-1) is arithmetic, with a common difference found by evaluating the coefficient of n in the explicit formula. Calculation: The common difference is 4, as it is the coefficient of (n-1).Write Recursive Formula: Write the recursive formula using the first term and the common difference. The recursive formula has the form f(n) = f(n-1) + d, where d is the common difference. Calculation: Since f(1) = 93 and the common difference d = 4, the recursive formula is f(n) = f(n-1) + 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

f(n)=93+4(n-1)
Complete the recursive formula of
f(n).

{:[f(1)=◻],[f(n)=f(n-1)+]:}

$f(n)=93+4(n-1)$ $\newline$ Complete the recursive formula of $f(n)$ . $\newline$ $\begin{array}{l} f(1)=\square \\ f(n)=f(n-1)+ \end{array}$

View step-by-step help

Home

Math Problems

Algebra 2

Write a formula for an arithmetic sequence

Full solution

f(n)=93+4(n-1)

\newline

Complete the recursive formula of

f(n)

\newline

\begin{array}{l} f(1)=\square \\ f(n)=f(n-1)+ \end{array}

Identify First Term: Identify the first term of the sequence using the explicit formula $f(n)=93+4(n-1)$ by substituting $n=1$ . $\newline$ Calculation: $f(1) = 93 + 4(1-1) = 93 + 4(0) = 93 + 0 = 93$ .
Recognize Arithmetic Sequence: Recognize that the sequence defined by $f(n)=93+4(n-1)$ is arithmetic, with a common difference found by evaluating the coefficient of $n$ in the explicit formula. $\newline$ Calculation: The common difference is $4$ , as it is the coefficient of $(n-1)$ .
Write Recursive Formula: Write the recursive formula using the first term and the common difference. The recursive formula has the form $f(n) = f(n-1) + d$ , where $d$ is the common difference. $\newline$ Calculation: Since $f(1) = 93$ and the common difference $d = 4$ , the recursive formula is $f(n) = f(n-1) + 4$ .