All categories

3 years ago

Write the first 3 terms of the sequence an=n+2

Mathematics

1 answer:

frutty [35]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_n = n + 2$

$a_1 = 1 + 2 = 3\\a_2 = 2 + 2 = 4\\a_3 = 3 + 2 = 5$

You might be interested in

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let

Artyom0805 [142]

Answer:

x = 16, y = 22: So C.

Step-by-step explanation:

3 0

3 years ago

Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago

Find a number that is divisible by 2,3,5,6,9,and 10

FinnZ [79.3K]

<em>90</em> and all of its multiples are.

4 0

3 years ago

Read 2 more answers

The point P(x, y) lies on the terminal side of an angle a = Ū in standard position. What are the signs of the values of x and y?

Akimi4 [234]

I think the answer is both x and y are positive

8 0

2 years ago

Please please answer this correctly

IRINA_888 [86]

Answer:

d= 71518 kilometers

Explanation:

A diameter is twice the radius. Here, we can use the formula d=2r (d=diameter r=radius)

If we substitute the formula, we have

d=2(35795)

After multiplying:

d=71518 kilometers

8 0

3 years ago

Write the first 3 terms of the sequence an=n+2​

Write the first 3 terms of the sequence an=n+2