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Grace [21]
3 years ago
8

Find the first five terms of the sequence: an=n+4/n!

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

B

Step-by-step explanation:

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How is the sum expressed in sigma notation?<br><br> 11 + 17 + 23 + 29 + 35 + 41
Ann [662]
<h3>The sum expressed in sigma notation is:</h3>

11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

<u><em>Solution:</em></u>

Given that,

11 + 17 + 23 + 29 + 35 + 41

We have to express the sum in sigma notation

Analyse the series

5 + 6(1) = 11

5 + 6(2) = 17

5 + 6(3) = 5 + 18 = 23

5 + 6(4) = 5 + 24 = 29

5 + 6(5) = 5 + 30 = 35

5 + 6(6) = 5 + 36 = 41

<em><u>Thus the series goes on like this:</u></em>

5 + 6(n) , where n = 1 to 6

<em><u>This can be expressed in sigma notation as:</u></em>

11+17+23+29+35+41=\sum\limits_{n=1}^{6}5+6n

<em><u>We can expand the sigma notation and verify the results</u></em>

\sum\limits_{i=1}^{6}5+6i=(5+6(1))+(5+6(2))+(5+6(3))+(5+6(4))+(5+6(5))+(5+6(6))\\\\\\\sum\limits_{i=1}^{6}5+6i=(5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)\\\\\\\sum\limits_{i=1}^{6}5+6i=11+17+23+29+35+41

8 0
3 years ago
Read 2 more answers
B r a i n l i s t to the first person to answer
erastovalidia [21]

Answer:

34.8 miles

Step-by-step explanation:

First, we know that Area = Length * Width. Let's plug in those values.

1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)

Now, solve for x (we want to have x by itself, so divide both sides by 36.8)

34.8 = x

Now that we know that the width of it is 34.8 miles, let's check our work.

34.8 * 36.8 = 1,260.64

This equation IS true, so:

The width of the rectangle is 34.8 miles. Hope this helps!

4 0
3 years ago
Write a variable expression that represents the following word phrase:
iris [78.8K]

Answer:

Answer: -4

Step-by-step explanation:

(3-x)/2 -4=-4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?
dem82 [27]
You can calculate the difference/vector of both points:
7+2i-(2+3i)=5-i
then calculate the magnitude/length like pythagoras
radius=\sqrt{5^2+(-i*-i)}\\=\sqrt{5^2+i^2}\\=\sqrt{5^2-1}\\=\sqrt{24}\\=\sqrt{4*6}\\=2*\sqrt{6}
7 0
3 years ago
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Was Thomas Jefferson a federalist or anti-federalist?
kherson [118]

Answer:

He was an Anti-federalist

Step-by-step explanation:

6 0
3 years ago
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