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jenyasd209 [6]
3 years ago
9

I need help....

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Its okay bro, we all failed

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Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
2 years ago
0.75 is the square root of what value?
lina2011 [118]
0.75^2 = 0.5625.....sq rt 0.5625 = 0.75
4 0
2 years ago
Read 2 more answers
We expect to see a line for a graph of a composition of a function and it's inverse function, if the domain of each is all _____
Helen [10]

The answer would be All (A)Real Numbers

4 0
3 years ago
A nurse opens a case that has a total of 160 ounces of med. If each vial in the case holds 1 1/3oz of medication how many vials
uysha [10]

Answer:

120 Vials

Step-by-step explanation:

160/1and1/3

160/4over3

Multiply top by 3

480/4

120

4 0
1 year ago
On a sunny day, a tree casts a shadow that is 146 feet long. At the same time, a person who is 5.6
iVinArrow [24]
Let X = tree height.

X/146 = 5.6/11.2
3 0
2 years ago
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