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3 years ago

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.

Mathematics

1 answer:

ale4655 [162]3 years ago

8 0

Answer:

x, 2x+1, 4x+3, 8x+7

Step-by-step explanation:

If we call the first term x, then the subsequent term is 2x+1. Then, the next term is 2(2x+1)+1=4x+2+1=4x+3. Then, the fourth term is 2(4x+3)+1=8x+6+1=8x+7.

As a matter of fact, the nth term is given by $2^{n-1}x+2^{n-1}-1$ for starting term x.

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Find. What part of 40 is 16?

levacccp [35]

Answer:

40%

Step-by-step explanation:

because convert the fraction 16/40 and the answer is 40%

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8 0

3 years ago

8) through: (-3, -2), perp. to y = x – 1 A) y=-5x – 1 B) y=-4x – 5 C) y=-x – 5 D) y=-5x – 4

nexus9112 [7]

Answer:

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

Solution:

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1$

We know that, product of slopes of perpendicular lines is -1.

So, 1 $\times$ slope of perpendicular line = -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0

4 years ago

Suppose a triangle has sides a, b, and c, and let theta be opposite the side of length a. If cos theta < 0, what must be true

katrin2010 [14]

If $\cos \theta\ \textless \ 0$ , then angle $\theta$ is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since angle $\theta$ is opposite the side of length a you can conclude that a>c and a>b.

6 0

4 years ago

Selena buys 4 peaches that weigh 1 pound in all. Each peach weigh the same amount. Peaches are on sale for $2.24 per pound. Writ

DENIUS [597]

Answer:

The required equation is

4p = 2.24

And p = 0.56 [ where p is in $]

Step-by-step explanation:

Given that Selena buys 4 peaches that weight 1 pound in all.

Peaches are on sale for $2.24 per pound.

Since the total weight of peaches is 1 pound.

So the price of 4 peaches is $2.24.

Let p be the price of 1 peaches.

Then the price of 4 peaches is $(4×p)

= $4p

According to the problem,

4p = 2.24

$\Rightarrow p=\frac{2.24}{4}$

⇒p=0.56 [ where p is in $]

The required equation is

4p = 2.24

And p = 0.56 [ where p is in $]

8 0

3 years ago

How would I find X? I tried using a2 + b2 =c2 but nothing worked

kozerog [31]

Can you please explain this a bit better? i dont understand

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3 years ago

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.​

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.