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3 years ago

8

Identify The set of numbers that best describe each situation explain your choice the amount of money in a bank account and the

exact temperature of a glass of water in degrees Celsius

1 answer:

mr_godi [17]3 years ago

8 0

Please Give more to the question so we may answer it !!!!

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

2 years ago

Which statement describes graph

AveGali [126]

Answer:

Step-by-step explanation:

There are no statements here

4 0

2 years ago

Which of the following is a geometric sequence

Romashka [77]

Answer:

C. -3, 3, -3, 3, ...

Step-by-step explanation:

-3×-3 = 3

3×-3 = -3

etc...

Hope this helps! :)

4 0

2 years ago

Read 2 more answers

The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm15, s

nasty-shy [4]

Answer:

8.7 is your answer

Step-by-step explanation:

4 0

3 years ago

What is the slope of the line?<br> 3(y - 1) = 2x + 2

zloy xaker [14]

hope it helped

3(y-1)=2x+2

3(y-1)/3=2x+2/3

y-1=2x/3+2/3

y=2x/3+2/3+1

y=2x/3+5/3

m=2/3

3 0

3 years ago