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3 years ago

What are the first three terms of the sequence defined by the following equation?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

6 0

$a_n=6+(n-1)(-4)=6+(n)(-4)+(-1)(-4)=6-4n+4=10-4n$

Put n = 1, n = 2 and n = 3 to the equation:

$a_1=10-4(1)=10-4=6\\\\a_2=10-4(2)=10-8=2\\\\a_3=10-4(3)=10-12=-2$

<h3>Answer: A. 6, 2, -2.</h3>

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

First term = 6 + (1 -1)(-4) = 6 + 0 = 6.

2nd term = 6 + (2 - 1)(-4) = 6 + (-4) = 2.

a3 = 6 + (3 - 1)(-4) = 6 + (-8) = -2.

Its Choice A.

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2 years ago

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3 years ago

Read 2 more answers

Select the correct answer.

jenyasd209 [6]

The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.

Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)

We have to find second factor of given equation

First we will be rational root theorem to given expression so will get following expression:

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So one factor is (x-1) and now simplifying $\frac{2x^3-3x^2-3x+2}{x+1}$ we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)

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2 years ago

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Nady [450]

Answer:

Step-by-step explanation:

given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as

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2 years ago

Y=2x+1

yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

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2 years ago