Find the common ratio of the geometric sequence -7,56,-448,dots Answer:

Identify sequence type: Identify the type of sequence. The given sequence is -7, 56, -448, ... Each term seems to be multiplied by a common ratio to obtain the next term, indicating that it is a geometric sequence.Calculate common ratio: Calculate the common ratio using consecutive terms. To find the common ratio, we can divide the second term by the first term. Common Ratio (r) = 56 / (-7) = -8Verify common ratio: Verify the common ratio with another pair of consecutive terms. To ensure that the common ratio is correct, we can also divide the third term by the second term. Common Ratio (r) = (-448) / 56 = -8 This confirms that the common ratio is consistent across different pairs of terms.

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Find the common ratio of the geometric sequence
-7,56,-448,dots
Answer:

Find the common ratio of the geometric sequence $-7,56,-448, \ldots$ $\newline$ Answer:

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Algebra 2

Find terms of a geometric sequence

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Q. Find the common ratio of the geometric sequence

-7,56,-448, \ldots

\newline

Answer:

Identify sequence type: Identify the type of sequence. $\newline$ The given sequence is $-7, 56, -448, \ldots$ Each term seems to be multiplied by a common ratio to obtain the next term, indicating that it is a geometric sequence.
Calculate common ratio: Calculate the common ratio using consecutive terms. $\newline$ To find the common ratio, we can divide the second term by the first term. $\newline$ Common Ratio $r$ = $\frac{56}{-7}$ = $-8$
Verify common ratio: Verify the common ratio with another pair of consecutive terms. $\newline$ To ensure that the common ratio is correct, we can also divide the third term by the second term. $\newline$ Common Ratio $r$ = $(-448) / 56$ = $-8$ $\newline$ This confirms that the common ratio is consistent across different pairs of terms.