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son4ous [18]
2 years ago
6

Create an arithmetic sequence with a common difference of -10

Mathematics
1 answer:
trapecia [35]2 years ago
8 0

Answer:

0, -10, -20, -30, -40, -50, ..., -10(n-1)

Step-by-step explanation:

An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten.  If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence.  The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.

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Solve for x. −5(x−4)=−30
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Let's solve your equation step-by-step.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−<span>30

</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−30</span></span>
<span>Simplify: (Show steps)</span><span><span><span>−<span>5x</span></span>+20</span>=<span>−<span>30

</span></span></span>Step 2: Subtract 20 from both sides.<span><span><span><span>−<span>5x</span></span>+20</span>−20</span>=<span><span>−30</span>−20</span></span><span><span>−<span>5x</span></span>=<span>−<span>50

</span></span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>=<span><span>−50</span><span>−5</span></span></span><span>x=<span>10

</span></span>Answer:<span>x=<span>10</span></span>
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