Determine the next term in the geometric sequence. -1, -6, -36, -216, ??
2 answers:
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V of w sphere = 
r³
Multiply by 3 on either sides to get rid of the fraction.
3V = 4r³
Now divide either sides by 4 to isolate r³
r³
4
and 4 cancels out
= r³
Take the cube root to isolate r.
![\sqrt[3]{ \frac{3V}{4 \pi } } = \sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20%3D%20%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
the cube root cancels the cube
![\sqrt[3]{ \frac{3V}{4 \pi } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20)
= r
Multiply by 3 on either sides to get rid of the fraction.
3V = 4
Now divide either sides by 4
4
Take the cube root to isolate r.
the cube root cancels the cube