Answer:
12 (r-1)
Step-by-step explanation:
Both terms have 12 as a common factor, so you can factor it out.
Answer:
x=14
Step-by-step explanation:
3x-6=2(x+4)
3x-6=2x+8
+6 +6
3x=2x+14
-2x -2x
x=14
The term of this sequence is:
<span>-(17/30)n^5+(113/12)n^4-(173/3)n^3+(1915/12)n^2-(5813/30)n+85 </span>
<span>Therefore,term number 7 is:-146/1=-146 </span>
![\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\qquad \begin{cases} B=\textit{area of its base}\\ h=height\\ ----------\\ B=\frac{1}{4}B\\\\ h=\frac{1}{4}h \end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{B}{4}\cdot \cfrac{h}{4} \\\\\\ V=\cfrac{1}{3}\cdot \cfrac{1}{4\cdot 4}Bh\implies V=\cfrac{1}{16}\left( \cfrac{1}{3}Bh \right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20pyramid%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B1%7D%7B3%7DBh%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AB%3D%5Ctextit%7Barea%20of%20its%20base%7D%5C%5C%0Ah%3Dheight%5C%5C%0A----------%5C%5C%0AB%3D%5Cfrac%7B1%7D%7B4%7DB%5C%5C%5C%5C%0Ah%3D%5Cfrac%7B1%7D%7B4%7Dh%0A%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B1%7D%7B3%7D%5Ccdot%20%5Ccfrac%7BB%7D%7B4%7D%5Ccdot%20%5Ccfrac%7Bh%7D%7B4%7D%0A%5C%5C%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B1%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B1%7D%7B4%5Ccdot%204%7DBh%5Cimplies%20V%3D%5Ccfrac%7B1%7D%7B16%7D%5Cleft%28%20%5Ccfrac%7B1%7D%7B3%7DBh%20%5Cright%29)
so, you'd end up with a pyramid with a volume "one sixteenth" of the original then
now, the original had a volume of 1536, the quarterized version will then just be one sixteenth of that, or 1536 * 1/36