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Georgia [21]
3 years ago
15

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

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\frac{1}{4} \ of \ 32= \frac{1}{4}*32= \\\\=  \frac{1}{1}*8\to\boxed{8}
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What is the area of the following shape​
Ad libitum [116K]

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30 ft^2

Step-by-step explanation:

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Identify an equation in point-slope form for the line perpendicular to
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C

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7 0
3 years ago
Write an equation for each sentence then solve. The sum of two consecutive even numbers is thirty-four. What are the numbers? I
taurus [48]
<h3 /><h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3><h3>Required Solution :</h3>

Let the first even number be 'x' & the second even number be (x + 2)

<u>According to the Question</u>,

⇒x + (x + 2) = 34

⇒x + x + 2 = 34

⇒2x + 2 = 34

⇒2x = 34 - 2

⇒2x = 32

⇒x = 32/2

⇒x = 16

⇒First even number = x = 16

⇒Second even number = (x + 2) = 16 + 2 = 18

<u>∴</u><u> </u><u>The t</u><u>wo consecutive even n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>s</u><u> are 16 & 18</u> ...!

<h3>Verefication : </h3>

As, In our Question it was given that "The sum of two consecutive even numbers is thirty-four". So, as we got our two consecutive even numbers as 16 & 18 ... By this, we can say that these both even numbers should be equals to 34, i.e., 16 + 18 = 34. Hence, The equation which we formed is correct ...!

<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
6 0
3 years ago
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