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amm1812
3 years ago
9

Express the series using sigma notation. 2 - 6 + 18 – 54 + 162 ...

Mathematics
1 answer:
lidiya [134]3 years ago
6 0
2-6+18-54+162+\cdots=2(-3)^0+2(-3)^1+2(-3)^2+2(-3)^3+2(-3)^4+\cdots
=\displaystyle2\sum_{n=0}^\infty(-3)^n
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Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
Illusion [34]

Answer:

A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.

Step-by-step explanation:

We have the equation:

|8 - 2*p| = 6

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

or

f(x) = -A

Then for our case, we can rewrite:

|8 - 2*p| = 6

as:

(8 - 2*p) = 6

or

(8 - 2*p) = -6

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

8 - 2*p = 6

8 - 6 = 2*p

2 = 2*p

2/2 = p = 1

so one solution is  p = 1

Now from the other equation, we can get the other solution:

(8 -2*p) = -6

8 - 2*p = -6

8 + 6 = 2*p

14 = 2*p

14/2 = p = 7

So the two solutions are p = 1 and p = 7

Then the correct option is:

"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."

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3 years ago
The rainfall in inches for Sacramento is shown in the table below for the past 5 years. Sacramento 11, 12, 9, 8, 14 San Francisc
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

It will be correct trust me

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3 years ago
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