What is the next term of the geometric sequence? 2,-10,50", "

Identify pattern of sequence: Identify the pattern of the sequence. The given sequence is 2, -10, 50. We need to determine if this is a geometric sequence by finding a common ratio.Calculate common ratio: Calculate the common ratio. To find the common ratio, we divide the second term by the first term and the third term by the second term. Common ratio (r) = (-10) / 2 = -5 Check with the next term: 50 / (-10) = -5 The common ratio is consistent, so the sequence is geometric with a common ratio of -5.Find next term in sequence: Find the next term in the sequence. To find the next term, we multiply the last known term by the common ratio. Next term = 50 * (-5) = -250

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What is the next term of the geometric sequence?

2,-10,50", "

What is the next term of the geometric sequence? $\newline$ $2,-10,50$

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Q. What is the next term of the geometric sequence?

\newline

2,-10,50

Identify pattern of sequence: Identify the pattern of the sequence. $\newline$ The given sequence is $2, -10, 50$ . We need to determine if this is a geometric sequence by finding a common ratio.
Calculate common ratio: Calculate the common ratio. $\newline$ To find the common ratio, we divide the second term by the first term and the third term by the second term. $\newline$ Common ratio $r$ = $-10$ / $2$ = $-5$ $\newline$ Check with the next term: $50$ / $-10$ = $-5$ $\newline$ The common ratio is consistent, so the sequence is geometric with a common ratio of $-5$ .
Find next term in sequence: Find the next term in the sequence. $\newline$ To find the next term, we multiply the last known term by the common ratio. $\newline$ Next term = $50 \times (-5) = -250$