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OLEGan [10]
1 year ago
14

Find the 8th term of the geometric sequence 3, 12, 48,...

Mathematics
1 answer:
Sophie [7]1 year ago
4 0
\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}

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Solution:

Given y=8x^2-3x and slope is –67.

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Now calculate \frac{dy}{dx} for the given curve y=8x^2-3x.

Using differential rule:

$\frac{d}{dx}(x^n)=nx^{n-1}

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