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2 years ago

What is the explicit formula for this sequence

Mathematics

1 answer:

-Dominant- [34]2 years ago

8 0

Answer:

Step-by-step explanation:

Start with the 3.

You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.

n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.

The answer is an = a1 + (n-1)*d

d = 3

a1 = - 7

So let's try the formula out.

a4 = -7 + (4 - 1)*3

a4 = -7 + 3 * 3

a4 = -7 + 9

a4 = 2

Is 2 the 4th term in the series? Yes it is!

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A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0). what

gavmur [86]

If the grist mill completes the rotation in 8 seconds. Then the final position of the bucket after 6 seconds is (0, 9).

<h3>What is coordinate geometry?</h3>

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A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0).

Then the coordinates of the bucket's location after 6 seconds will be

The angle of rotation after 6 seconds will be

$\rightarrow \dfrac{6}{8} \times 360\\\\\rightarrow 270^o$

Then we have

x = 9 cos 270°

x = 0

and y will be

y = 9 sin 270°

y = -9

But the angle is in a clockwise direction, then

y = 9

More about the coordinate geometry link is given below.

brainly.com/question/1601567

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1 year ago

Read 2 more answers

What is 3y = 15x - 12 in y = mx + b form ?

algol13

Nope. U need to divide it all by 3. Y mustn't have anything in front of it. So u get. Y=5x-4

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2 years ago

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1. What is the minimum value of y in the graph below<br> y

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2 years ago

Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10..

Alisiya [41]

$\bf \sum\limits_{n=2}^{10}~-2n-3$

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".

however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n. So let's use those fellows then,

$\bf \sum\limits_{n=2}^{10}~-2n-3\qquad 
\begin{cases}
k=n-1\\
k+1=n
\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3
\\\\\\
\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5
\\\\\\
-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)
\\\\\\
-2(45)-45\implies -90-45\implies -135$

5 0

2 years ago

A lunch box costs $4.50 plus sales tax. After sales tax, the lunch box is $4.86. What is the sales tax rate?

Alborosie

8 percent (C)

To find 1% you divide 4.50 by 100, which is 0.045.

Then you have to find what is added on.
4.86-4.50 is .36

Now you divide .36 by 0.045. An easier way to do this is 360 divided by 45. This equals 8.

Hope this helped

3 0

2 years ago