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Natalija [7]
2 years ago
9

What are the explicit equation and domain for an arithmetic

Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: a_1=5

Second term: a_2=3

Common difference is

d=a_2-a_1

d=3-5

d=-2

Now, the explicit formula for an arithmetic sequence is

a_n=a+(n-1)d

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

a_n=5+(n-1)(-2)

It can also be written as

a_n=5-2n+2

a_n=7-2n

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is a_n=5+(n-1)(-2) or a_n=7-2n and domain is all interest greater than or equal to 1.

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Step-by-step explanation:

you multiply the numbers and add the variables

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The expression 5 + 5x is equivalent to the expression
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5(1+x)

Step-by-step explanation:

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1-58. Mr. Wright was making a table to figure out how much it costs to send a certain numt
Drupady [299]

A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Given that

\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]

Let:

<em />L \to<em> Letters</em>

<em />C \to<em> Cost</em>

<em />

Using proportional reasoning, we have:

C  = kL

Where

<em />k \to<em> ratio of proportion</em>

For the first values of C and L, we have:

C  = kL

0.45 = k \times 10

Divide both sides by 10

k = 0.045

So, the equation of proportion is:

C = 0.045L

<u>When C = 6.75, we have:</u>

C = 0.045L

6.75 = 0.045L

Solve for L

L = \frac{6.75}{0.045}

L = 150

<u>When L = 7, we have:</u>

C = 0.045L

C = 0.045 \times 7

C = 0.315

<u>When L = 1, we have:</u>

C = 0.045L

C = 0.045 \times 1

C = 0.045

<u>When L = 500, we have:</u>

C =0.045L\\

C =0.045 \times 500

C =22.5

<u>When C = 18.90, we have:</u>

C = 0.045L

18.90 = 0.045L

Solve for L

L=\frac{18.90}{0.045}

L=420

Hence, the complete table is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Read more about proportions at:

brainly.com/question/21126582

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Please help me now plz
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Answer:

9 and 4

if not then -9 and 4

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3 years ago
Cho hàm số 2 2 3 1 2 ( )
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Answer:

ok

Step-by-step explanation:

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