Find the 8th term of the geometric sequence shown below. -8x^(6),-8x^(7),-8x^(8),dots Answer:

Find Common Ratio: To find the 8th term of the geometric sequence, we first need to determine the common ratio (r) of the sequence. The common ratio is found by dividing any term by the previous term. Calculation: r = (-8x^7) / (-8x^6) = x^(7-6) = xCalculate 8th Term: Now that we have the common ratio, we can find the 8th term by using the formula for the nth term of a geometric sequence, which is a_n = a_1 * r^(n-1), where a_1 is the first term and n is the term number. Calculation: a_8 = (-8x^6) * x^(8-1) = (-8x^6) * x^7 = -8x^(6+7) = -8x^13

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Find the 8th term of the geometric sequence shown below.

-8x^(6),-8x^(7),-8x^(8),dots
Answer:

Find the $8$ th term of the geometric sequence shown below. $\newline$ $-8 x^{6},-8 x^{7},-8 x^{8}, \ldots$ $\newline$ Answer:

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Q. Find the

8

th term of the geometric sequence shown below.

\newline

-8 x^{6},-8 x^{7},-8 x^{8}, \ldots

\newline

Answer:

Find Common Ratio: To find the $8^{\text{th}}$ term of the geometric sequence, we first need to determine the common ratio ( $r$ ) of the sequence. The common ratio is found by dividing any term by the previous term. $\newline$ Calculation: $r = \frac{-8x^7}{-8x^6} = x^{7-6} = x$
Calculate $8$ th Term: Now that we have the common ratio, we can find the $8$ th term by using the formula for the nth term of a geometric sequence, which is $a_n = a_1 \cdot r^{(n-1)}$ , where $a_1$ is the first term and $n$ is the term number. $\newline$ Calculation: $a_8 = (-8x^6) \cdot x^{(8-1)} = (-8x^6) \cdot x^7 = -8x^{(6+7)} = -8x^{13}$