Complete the recursive formula of the geometric sequence -1.5,6,-24,96,dots". " d(1)= d(n)=d(n-1)". "

Identify first term: We are given the sequence: -1.5, 6, -24, 96, ... First, we need to identify the first term of the sequence, which is given as d(1).Find common ratio: The first term of the sequence is -1.5, so we have: d(1) = -1.5Write recursive formula: Next, we need to find the common ratio by dividing the second term by the first term: Common ratio (r) = 6 / (-1.5) = -4Now that we have the common ratio, we can write the recursive formula for the sequence. The recursive formula is given by: d(n) = d(n-1) * r Substituting the value of r we found: d(n) = d(n-1) * (-4)

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Complete the recursive formula of the geometric sequence

-1.5,6,-24,96,dots". "

d(1)=

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

Complete the recursive formula of the geometric sequence $\newline$ $-1.5, 6, -24, 96, \dots$ . $\newline$ $d(1) =$ $\newline$ $d(n) = d(n-1)\cdot$

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Math Problems

Algebra 1

Write variable expressions for geometric sequences

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Q. Complete the recursive formula of the geometric sequence

\newline

-1.5, 6, -24, 96, \dots

\newline

d(1) =

\newline

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

Identify first term: We are given the sequence: $-1.5, 6, -24, 96, \ldots$ $\newline$ First, we need to identify the first term of the sequence, which is given as $d(1)$ .
Find common ratio: The first term of the sequence is $-1.5$ , so we have: $\newline$ $d(1) = -1.5$
Write recursive formula: Next, we need to find the common ratio by dividing the second term by the first term: $\newline$ Common ratio $r$ = $\frac{6}{-1.5}$ = $-4$
Write recursive formula: Next, we need to find the common ratio by dividing the second term by the first term: $\newline$ Common ratio $r$ = $\frac{6}{-1.5}$ = $-4$ Now that we have the common ratio, we can write the recursive formula for the sequence. The recursive formula is given by: $\newline$ $d(n) = d(n-1) \times r$ $\newline$ Substituting the value of $r$ we found: $\newline$ $d(n) = d(n-1) \times (-4)$