g(n)=-50-15 n Complete the recursive formula of g(n). g(1)= g(n)=g(n-1)+

Find g(1): To find the recursive formula for the sequence, we need to express g(n) in terms of g(n-1). First, let's find the value of g(1) by substituting n=1 into the given formula g(n)=-50-15n. Calculation: g(1) = -50 - 15(1) = -50 - 15 = -65Find g(2): Now, let's find g(2) to determine the common difference between terms. We substitute n=2 into the given formula g(n)=-50-15n. Calculation: g(2) = -50 - 15(2) = -50 - 30 = -80Calculate common difference: The common difference (d) between terms can be found by subtracting g(1) from g(2). Calculation: d = g(2) - g(1) = -80 - (-65) = -80 + 65 = -15Write recursive formula: Now we can write the recursive formula. Since the common difference is -15, the recursive formula will be g(n) = g(n-1) - 15.

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g(n)=-50-15 n
Complete the recursive formula of
g(n).

g(1)=

g(n)=g(n-1)+

$g(n)=-50-15 n$ $\newline$ Complete the recursive formula of $g(n)$ . $\newline$ g(1) = $\square$ $\newline$ g(n) = g(n-1)+$\square$

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Math Problems

Algebra 2

Write a formula for an arithmetic sequence

Full solution

g(n)=-50-15 n

\newline

Complete the recursive formula of

g(n)

\newline

g(1) = $\square$

\newline

g(n) = g(n-1)+$\square$

Find $g(1)$ : To find the recursive formula for the sequence, we need to express $g(n)$ in terms of $g(n-1)$ . First, let's find the value of $g(1)$ by substituting $n=1$ into the given formula $g(n)=-50-15n$ . $\newline$ Calculation: $g(1) = -50 - 15(1) = -50 - 15 = -65$
Find $g(2)$ : Now, let's find $g(2)$ to determine the common difference between terms. We substitute $n=2$ into the given formula $g(n)=-50-15n$ . $\newline$ Calculation: $g(2) = -50 - 15(2) = -50 - 30 = -80$
Calculate common difference: The common difference $d$ between terms can be found by subtracting $g(1)$ from $g(2)$ . $\newline$ Calculation: $d = g(2) - g(1) = -80 - (-65) = -80 + 65 = -15$
Write recursive formula: Now we can write the recursive formula. Since the common difference is $-15$ , the recursive formula will be $g(n) = g(n-1) - 15$ .