Find an explicit formula for the geometric sequence -1,-7,-49,-343,dots Note: the first term should be d(1). d(n)=

Sequence Type: We have the sequence: -1, -7, -49, -343, ... Is the given sequence geometric or arithmetic? -1, -7, -49, -343, ... Here, each term is multiplied by a common ratio. The given sequence is geometric.Determining d(1) and r: Determine the values of d(1) and r of the sequence. First term: d(1) = -1 Common ratio: r = -7 / -1 = 7Expression for d(n): We have: d(1) = -1 r = 7 Determine an expression to describe d(n). Substitute -1 for d(1) and 7 for r. d(n) = d(1) * (r)^(n - 1) d(n) = -1 * (7)^(n - 1)

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Find an explicit formula for the geometric sequence
-1,-7,-49,-343,dots Note: the first term should be
d(1).

d(n)=

Find an explicit formula for the geometric sequence $-1,-7,-49,-343,\ldots$ Note: the first term should be $d(1)$ . $\newline$ $d(n)=$

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Math Problems

Algebra 1

Write variable expressions for geometric sequences

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Q. Find an explicit formula for the geometric sequence

-1,-7,-49,-343,\ldots

Note: the first term should be

d(1)

\newline

d(n)=

Sequence Type: We have the sequence: $-1, -7, -49, -343, \ldots$ $\newline$ Is the given sequence geometric or arithmetic? $\newline$ $-1, -7, -49, -343, \ldots$ $\newline$ Here, each term is multiplied by a common ratio. $\newline$ The given sequence is geometric.
Determining $d(1)$ and $r$ : Determine the values of $d(1)$ and $r$ of the sequence. $\newline$ First term: $d(1) = -1$ $\newline$ Common ratio: $r = \frac{-7}{-1} = 7$
Expression for d(n): We have: $\newline$ d( $1$ ) = $-1$ $\newline$ r = $7$ $\newline$ Determine an expression to describe d(n). $\newline$ Substitute $-1$ for d( $1$ ) and $7$ for r. $\newline$ d(n) = d( $1$ ) $\cdot r^{n - 1}$ $\newline$ d(n) = $-1 \cdot 7^{n - 1}$