You are going to mix 1 gallon bucket of window cleaner the instructions say to mix 1 part cleaner to 3 parts water how much clea
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Answer:
<h2>-3</h2>Step-by-step explanation:
If you mean 1/3 slope, then -3/1 or -3 since the opposite inverse rule says that perpendicular lines are opposite inverses of each other. In other words, flip the order of 1/3 to 3/1 and add a negative sign. This makes sense, since the lines would go in opposite directions.
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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:
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:
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:
Then the last or 20th term is:
Therefore, the sum of the first 20 terms are: