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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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Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the nu
sergij07 [2.7K]

Answer:

3.78+.75b=c

Step-by-step explanation:

7 0
3 years ago
Twice as many students are in the chess club as in the fencing club.The number of students in the fencing club is one fifth the
jekas [21]

Answer:

28 students

Step-by-step explanation:

Let number of students in cooking club = x

Number of students in fencing club = 1/5 x

Number of students in chess club = 2(1/5)x

Since, There are 42 more students in the cooking club than in the chess club

Then ;

Number of students in chess club = Number of students in cooking club - 42

2(1/5)x = x - 42

(2/5)x - x = - 42

(2/5)x - x = - 42

-0.6x = - 42

x = 42 / 0.6

x = 70

Hence, number of students in chess club :

(2/5) * 70 = 28

4 0
2 years ago
Find the specified element in the inverse of the given matrix
JulijaS [17]
What is the given matrix?
you didn't show a matrix.
the components of the matrix are the elements.
and the elements of the inverse matrix are the elements of the inverse matrix
1) 
so if matrix A is  1   4  1   
                          2   5  2
                          3   6  3
2)
14114
25225
36336

3)
15 24 12
15 12 24
4)
[A]=(15+24+12=51)-(15+12+24=51)
[A]=0
5)
    52    23   25
    63    23   36

    41    11   14 
    63    33   36

    41    12    14
    52    12    25
6)

    15-12   6-6   12-15

     12-6    3-3    6-12

      8-5     2-2     5-8


7) 
     3    0   -3

     6    0   -6

     3    0   -3
 8) 
     (+)3    (-)0   (+)-3

     (-)6    (+)0   (-)-6

     (+)3    (-)0   (+)-3
=

    3  0  -3
   -6  0   6
    3  0  -3

9)
        3 -6  3
N=   0  0  0
       -3  6 -3
10) the inverse of [A]= 1/|A|*[N]
which is in this case ⁻A= 0
because |A|=0

6 0
3 years ago
Multiply 6+2i and it’s conjugate. Simplify. <br><br> Help me please ASAP
vlabodo [156]

Answer:

40

Step-by-step explanation:

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= 36 + 4 = 40

7 0
3 years ago
Is rolling doubles a simple event or compound event? Explain. (rolling double dice)
3241004551 [841]
I think it is a compound event because rolling each die is an independent event.
4 0
3 years ago
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