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iren [92.7K]
4 years ago
9

Find the 87th term of the arithmetic sequence -19, -13, -7,...

Mathematics
1 answer:
jasenka [17]4 years ago
5 0

Answer: 497

Step-by-step explanation:

The formula for this sequence is (x+6), and since the first three terms are given, you only need to find the last 84 terms.

Multiply 6 by 84

6 * 84 = 504

Now subtract 7 from 504 since -7 is the third term.

504 - 7 = 497

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(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.
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The simplified expression of \frac{x^3 + (-y)^3}{(x - y} is x^2+xy+y^2

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

\frac{x^3 + (-y)^3}{(x - y}

Open the inner bracket

\frac{x^3 -y^3}{(x - y}

Apply the difference of two cubes to the numerator

\frac{(x-y)(x^2+xy+y^2)}{(x - y}


Cancel out the common factors

x^2+xy+y^2

Hence, the simplified expression of \frac{x^3 + (-y)^3}{(x - y} is x^2+xy+y^2

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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