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JulijaS [17]
3 years ago
15

Which is a possible expression for the series –7 + 12 –17 +22 –27

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
First, you have to see the behavior of the series: it has a negative number, then a positive number with a 5 addd (7+5=12), and this is repeated with the others values. Each termn has a 5 added. In this case, as there is negatives values alternated, the serie will have the termn (-1)^n. Then, we have:
 
 a(n)=(-1)^n[ a + (n-1)d ]
 a(n)=(-1)^n[ (7) + (n-1)(5) ]
 a(n)=(-1)^n( 5n + 2 )
 
 A possible expression for the serie <span>–7 + 12 –17 +22 –27, is:
</span> 
 ∑5n=(−1)^n(2+5n)
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xxMikexx [17]
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I am pretty sure I did that right.
7 0
3 years ago
A line contains the points (10,7) and (10,-8). Write the equation of the line
vagabundo [1.1K]

Given two points (x_1, y_1) and (x_2, y_2), the equation of the line passing through them is

\dfrac{x-x_2}{x_1-x_2}=\dfrac{y-y_2}{y_1-y_2}

This formula, however, only works if the points don't share any of the two coordinates. Otherwise, one of the two conditions is true:

x_1=x_2,\quad y_1=y_2

And at least one of the denominators in the formula above will vanish.

So, if two points share the same x coordinate, they lie on the vertical line x=k, where k is the shared x coordinate.

Similarly, if two points share the same y coordinate, they lie on the horizontal line y=k, where k is the shared y coordinate.

In your case, the x coordinate is the same, so the points lie on the vertical line x=10.

4 0
3 years ago
The infinite sequence 1, 6, 15, 28, 45, ... exhibits which pattern? multiply the term number by 2, subtract 1 from the result, m
Amanda [17]
The correct response is ;
<span>multiply the term number by 2, subtract 1 from the result, multiply by 2 times the term number, and divide the result by 2.
if term number is x,
the number in the pattern for xth term is ;
multiply term number by 2 - 2x
subtract 1 - 2x - 1
multiply by 2 times the term number - (2x-1) * 2x
divide by 2 - (</span>(2x-1) * 2x)/2
so first term x=1
((2*1-1) * 2*1)/2
2/2 = 1
second term x = 2
((2*2-1) * 2*2)/2
(3*4)/2 = 6
third term x = 3
((2*3-1) * 2*3)/2
5*6/2 = 15
fourth term  x= 4
((2*4-1) * 2*4)/2
56/2 = 28
Therefore the above response shows the correct pattern
5 0
4 years ago
Read 2 more answers
Express your final answer in simplest form 3/5 + -7/8
frez [133]

Answer:

- 0.5

Step-by-step explanation:

you first change the fractions numbers  in to decimal form

      so;   2/5 = 0.4

               -7/8 = - 0.875

hence;   0.4 + (-0.875)

             = - 0.475

in to its simplest form   =  - 0.5

  the answer is - 0.5

5 0
3 years ago
You randomly choose a letter A, and do not replace it. Then, you choose another letter A. What is the probability that both lett
GarryVolchara [31]
You made the choice to choose the letter A, a second time.
3 0
3 years ago
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