Complete the recursive formula of the geometric sequence 27,-9,3,-1,dots".. " b(1)= b(n)=b(n-1)". "

Identify Pattern: We have the sequence: 27, -9, 3, -1, ... To find the recursive formula, we need to determine the pattern between consecutive terms.First Term Given: The first term is given as b(1) = 27.Calculate Common Ratio: To find the common ratio (r), we divide the second term by the first term: r = (-9) / 27 = -1/3.Write Recursive Formula: Now that we have the common ratio, we can write the recursive formula. The recursive formula for a geometric sequence is b(n) = b(n-1) * r.Substitute Common Ratio: Substitute the common ratio (-1/3) into the recursive formula: b(n) = b(n-1) * (-1/3).

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Complete the recursive formula of the geometric sequence

27,-9,3,-1,dots".. "

b(1)=

b(n)=b(n-1)". "

Complete the recursive formula of the geometric sequence $\newline$ $27,-9,3,-1, \ldots \text {. }$ $\newline$ $b(1)=\square$ $\newline$ $b(n)=b(n-1) \cdot \square$

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Algebra 1

Write variable expressions for geometric sequences

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Q. Complete the recursive formula of the geometric sequence

\newline

27,-9,3,-1, \ldots \text {. }

\newline

b(1)=\square

\newline

b(n)=b(n-1) \cdot \square

Identify Pattern: We have the sequence: $27, -9, 3, -1, \ldots$ $\newline$ To find the recursive formula, we need to determine the pattern between consecutive terms.
First Term Given: The first term is given as $b(1) = 27$ .
Calculate Common Ratio: To find the common ratio $r$ , we divide the second term by the first term: $r = (-9) / 27 = -1/3$ .
Write Recursive Formula: Now that we have the common ratio, we can write the recursive formula. The recursive formula for a geometric sequence is $b(n) = b(n-1) \times r$ .
Substitute Common Ratio: Substitute the common ratio $(-\frac{1}{3})$ into the recursive formula: $b(n) = b(n-1) \times (-\frac{1}{3})$ .