Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

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8 0

4 years ago

Read 2 more answers

8. A carpenter balances his daily projects between small jobs (x) and building cabinets (y). He allots 2

garik1379 [7]

Answer:

$\$1125$

Step-by-step explanation:

The equations of the system are

$2x+4y\leq 12$

$y\geq 0$

$0$

From the graph it can be seen that points $(3,1.5)$ and $(3,0)$ falls in the bounded region.

The income will be

$125x+500y=125\times 3+500\times 1.5\\ =\$1125$

$125\times 3+500\times 0=\$375$

So, the person can do 3 small jobs and build 1 and a half cabinets per day.

The maximum income will be $\$1125$ .

4 0

3 years ago

20 oz bottle of a new soda costs $3.61. What is the unit rate, rounded to the nearest tenth of a cent?

poizon [28]

Answer:

$0.19

Step-by-step explanation:

If you divide $3.61 by 20 you will get 18.5. But my rounding to the nearest cent you get $0.19 because 4 and below let it go, 5 and above make it a dove. ( aka let it go up/fly) so in conclusion you get $0.19

8 0

3 years ago