Complete the recursive formula of the geometric sequence 300,60,12,2.4,dots.. d(1)= d(n)=d(n-1).

Identify First Term: Identify the first term of the sequence. The first term of the sequence is given as 300.Determine Common Ratio: Observe the pattern to determine the common ratio. The sequence is 300, 60, 12, 2.4, ... To find the common ratio, divide the second term by the first term: 60 / 300 = 0.2Write Recursive Formula: Write the recursive formula using the first term and the common ratio. The recursive formula for a geometric sequence is given by: d(n) = d(n-1) * r, where r is the common ratio. Here, d(1) = 300 and r = 0.2. So, the recursive formula is d(n) = d(n-1) * 0.2.

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Complete the recursive formula of the geometric sequence
300,60,12,2.4,dots..

d(1)=
d(n)=d(n-1).

Complete the recursive formula of the geometric sequence $\newline$ $300, 60, 12, 2.4, \dots$ $\newline$ $d(1)=$ $\newline$ $d(n)=d(n-1)\cdot$

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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

300, 60, 12, 2.4, \dots

\newline

d(1)=

\newline

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

Identify First Term: Identify the first term of the sequence. $\newline$ The first term of the sequence is given as $300$ .
Determine Common Ratio: Observe the pattern to determine the common ratio. $\newline$ The sequence is $300$ , $60$ , $12$ , $2.4$ , ... $\newline$ To find the common ratio, divide the second term by the first term: $\frac{60}{300} = 0.2$
Write Recursive Formula: Write the recursive formula using the first term and the common ratio. $\newline$ The recursive formula for a geometric sequence is given by: $\newline$ $d(n) = d(n-1) \times r$ , where $r$ is the common ratio. $\newline$ Here, $d(1) = 300$ and $r = 0.2$ . $\newline$ So, the recursive formula is $d(n) = d(n-1) \times 0.2$ .