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AysviL [449]
3 years ago
15

What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
Hello,
u_{1} =2\\
 u_{2} =2*3\\
 u_{3} =2*3^2\\
...
 u_{8} =2*3^7\\

\sum_{i=0}^7\ 2*3^i\\
=2(1+3+3^2+...+3^7)\\
=2* \dfrac{3^8-1}{3-1}\\
=2* \dfrac{6560}{2} \\
=6560

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Passing through (-2,-6) and parallel to the line whose equation is y=-3x+4
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Answer:

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Step-by-step explanation:

Lines that are parallel have the same gradient.

Therefore using the point (-2,-6) you can make your own equation.

-6 will be y, -2 will be x

All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>

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<u>y = -3x - 12</u>

6 0
2 years ago
Your lunch account has $23 and you spend $2.20 each day on your lunch write an equation for the line
-BARSIC- [3]

Answer:

Assuming you mean until the lunch money balance runs out,

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Step-by-step explanation:

You spend $2.20 every day.  If you are trying to find how many days until the lunch balance runs out, you need to put in X as your variable.

The last step is to set it equal to $23 dollars to be able to factor out the answer.


Hope this Helped!

4 0
3 years ago
You guyss know it's math
a_sh-v [17]

The coefficient of X is -2

3 0
3 years ago
A hostess earned a 5% tip. What decimal is equivalent to 5%?
4vir4ik [10]

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4 0
2 years ago
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