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3 years ago

What is the sum of the first 7 terms of the series −4+8−16+32−... ?

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

The terms appear to increase by a multiple of -2. The first 7 terms are:

-4 + 8 + -16 + 32 + -64 + 128 + -256. Add these together.

The sum of these numbers is -172.

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I WILL AWARD BRAINLIEST TO THE FIRST PERSON TO ANSWER HONESTLY

ruslelena [56]

Answer:

1,3,5

Step-by-step explanation:

Your first answer is correct,the third one too,and your fifth too.

Hope this helps:)

Pls mark brainlist

3 0

3 years ago

4 1/5 divided by 2 4/5 =

Delvig [45]

The answer to 4 1/5 divided by 2 4/5 is 3/2

7 0

3 years ago

Read 2 more answers

The term –18xy and which other term are like terms?

alexgriva [62]

So,

We know that we cannot add or subtract quantities of the same kind.

-18xy can only be added/subtracted to 4yx, which is the same as 4xy. The result would be -14xy, or -14yx.

The correct option is B.

6 0

3 years ago

Find the area between the graph of the function and the x-axis over the given interval, if possible.

vodomira [7]

Answer:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

$A = \int_{-\infty}^1 \frac{5}{(x-2)^2}$

For this case we can use the following substitution $u = x-2$ and we have $dx = du$

$A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du$

And if we solve the integral we got:

$A= -\frac{5}{u} \Big|_a^b$

And we can rewrite the expression again in terms of x and we got:

$A = -\frac{5}{x-2} \Big|_{-\infty}^1$

And we can solve this using the fundamental theorem of calculus like this:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

7 0

3 years ago

Make x the subject of the following: b = x - 5

nevsk [136]

B=x-5
To get x on its own you have to add 5 to both sides. This gives you:
b+5=x
or
x=b+5

8 0

3 years ago