Find the common ratio of the geometric sequence -6,36,-216,dots Answer:

Divide First Term: To find the common ratio of a geometric sequence, we divide any term by the previous term. Let's divide the second term by the first term to find the common ratio (r). Calculation: r = 36 / (-6)Calculate Common Ratio: Now, let's perform the division to find the value of r. Calculation: r = -6Check with Third Term: To ensure that we have the correct common ratio, we should check it by dividing the third term by the second term. Calculation: r = (-216) / 36Confirm Common Ratio: Perform the division to confirm the common ratio. Calculation: r = -6Final Verification: Since the common ratio calculated from the first and second term is the same as the ratio from the second to the third term, we have found the common ratio correctly.

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Find the common ratio of the geometric sequence
-6,36,-216,dots
Answer:

Find the common ratio of the geometric sequence $-6,36,-216, \ldots$ $\newline$ Answer:

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Q. Find the common ratio of the geometric sequence

-6,36,-216, \ldots

\newline

Answer:

Divide First Term: To find the common ratio of a geometric sequence, we divide any term by the previous term. $\newline$ Let's divide the second term by the first term to find the common ratio $r$ . $\newline$ Calculation: $r = \frac{36}{-6}$
Calculate Common Ratio: Now, let's perform the division to find the value of $r$ . $\newline$ Calculation: $r = -6$
Check with Third Term: To ensure that we have the correct common ratio, we should check it by dividing the third term by the second term. $\newline$ Calculation: $r = \frac{-216}{36}$
Confirm Common Ratio: Perform the division to confirm the common ratio. $\newline$ Calculation: $r = -6$
Final Verification: Since the common ratio calculated from the first and second term is the same as the ratio from the second to the third term, we have found the common ratio correctly.