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3 years ago

What is the next term of the arithmetic sequence? : -3,0,3,6,9

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

By analyzing the terms in your set, we can see that each integer is increasing by three.

Following this pattern, our answer should be 9 + 3, because 9 is the most recent and closest term in the sequence.

-3, 0, 3, 6, 9, 12 is our completed sequence. Of course, it will keep on going for infinity.

But you asked for the next term, so the answer is 12.

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Simplify completely: 8x+4/x^3+23÷4x^2-10x-6/9-x^2

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Answer:

The simplified form is: $-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

Step-by-step explanation:

To simplify the expression given we, need to open the brackets, and if there is power term. Then we need to group all the like terms and then arrange in the descending order of powers of the given expression.

Now the expression that is given to us is:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2$

Here we will simplify it by grouping the like terms, as follows:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2\\=-x^2+8x-10x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{6}{9}=-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

So this is the required simplified form.

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