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3 years ago

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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term.
-33, -66, -99, -132, ...

1 answer:

Tatiana [17]3 years ago

6 0

Answer:

Step-by-step explanation:

1. This is a arithmetic sequence, so the equation is $a_{n}=a_{1}+(n-1)d$ .

$a_{1}$ is -33 and the d is -33.

So, the equation is $a_{n} = -33+(n-1)(-33)$ .

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3 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

inn [45]

Answer:

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Step-by-step explanation:

The given expression is

$\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}$

First, we need to factor each denominator

$\frac{2x+5}{x(x-3)} -\frac{3x+5}{x(x+3)(x-3)} -\frac{x+1}{(x-3)(x+3)}$

So, the least common factor (LCF) is $x(x-3)(x+3)$ , because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

$\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}$

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

Therefore, the expression is equivalent to

$\frac{(x+5)(x+2)}{x(x-3)(x+3)}$

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3 years ago

Read 2 more answers

"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probab

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3 years ago

Read 2 more answers

When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an e

Burka [1]

Answer:

I will show all the steps to lead to the solution.

1) 10b = 5 (√c + 2) <---- starting equation

2) divide by 5 => 2 b = √c + 2

3) subtract 2 => 2b - 2 = √c

4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.

Now these are two equivalent forms:

1) extract 2 from the parentheses: c = 4 (b -1)^2

2) expand the parentheses: c = 4b^2 - 8b + 4)

Step-by-step explanation:

Choice D

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3 years ago