Complete the recursive formula of the geometric sequence -0.6,3,-15,75,dots. c(1)= c(n)=c(n-1).

Identify first term and common ratio: We need to identify the first term and the common ratio of the sequence. The first term is given directly as -0.6.Calculate common ratio: To find the common ratio (r), we divide the second term by the first term: r = 3 / (-0.6) = -5.Write recursive formula: Now that we have the first term and the common ratio, we can write the recursive formula. The recursive formula for a geometric sequence is given by c(n) = c(n-1) * r, where c(1) is the first term and r is the common ratio.Substitute values into formula: Substitute the known values into the recursive formula. The first term c(1) = -0.6, and the common ratio r = -5. Therefore, the recursive formula is: c(1) = -0.6 c(n) = c(n-1) * (-5) for n > 1

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Complete the recursive formula of the geometric sequence
-0.6,3,-15,75,dots.

c(1)=
c(n)=c(n-1).

Complete the recursive formula of the geometric sequence $\newline$ $-0.6, 3, -15, 75, \dots$ . $\newline$ $c(1)=$ $\newline$ $c(n)=c(n-1)\cdot$

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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

-0.6, 3, -15, 75, \dots

\newline

c(1)=

\newline

c(n)=c(n-1)\cdot

Identify first term and common ratio: We need to identify the first term and the common ratio of the sequence. The first term is given directly as $-0.6$ .
Calculate common ratio: To find the common ratio $r$ , we divide the second term by the first term: $r = \frac{3}{(-0.6)} = -5$ .
Write recursive formula: Now that we have the first term and the common ratio, we can write the recursive formula. The recursive formula for a geometric sequence is given by $c(n) = c(n-1) \times r$ , where $c(1)$ is the first term and $r$ is the common ratio.
Substitute values into formula: Substitute the known values into the recursive formula. The first term $c(1) = -0.6$ , and the common ratio $r = -5$ . Therefore, the recursive formula is: $\newline$ $c(1) = -0.6$ $\newline$ $c(n) = c(n-1) \times (-5)$ for n > 1