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PSYCHO15rus [73]
3 years ago
7

It’s incorrect thanks a lot g

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0
What are you talking about, what is your question
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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

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2 years ago
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What are some independent variables that are in some way related to global warming?
Alex73 [517]

The Sun, Earth's orbit, the oceans, greenhouse gases, and dust.

6 0
3 years ago
Mary was making $25,000 per year. Her boss gave her a $3,000 raise. What percent increase is that? PLZ HELP
Solnce55 [7]
The easiest way to find a percentage is to divide the two numbers. You're trying to find what percent 3,000 is of 25,000, so you divide 3,000 by 25,000 to find the decimal.
3000/25,000 = 0.12
If you move the decimal point to the right two places, you'll have your percentage. (Percent means "out of one hundred", and since the decimal point is now in what was the hundredths place, it is now a percentage instead of a decimal.)
12%
$3,000 is a 12% raise from $25,000.
7 0
3 years ago
What is the volume of the figure? PLEASE HELP ASAP NO LINKS
kotykmax [81]

Answer:

720 I think there is your answer from me

have a great day bye hop helps

Step-by-step explanation:

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(-2 √(-49)(5 √(-100)
Tamiku [17]

Answer:

The answer is... 700

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