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GrogVix [38]
3 years ago
12

How is the sum expressed in sigma notation? 22 + 27 + 32 + 37 + 42 + 47

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

The sum expressed in sigma notation is \sum_{n=1}^{6} 5 n+17.

Solution:

Given series is 22 + 27 + 32 + 37 + 42 + 47.

Write it in the sequence form 22, 27, 32, 37, 42, 47.

First term of the sequence = 22

Common difference = 27 – 22 = 5

This is arithmetic sequence.

\text n^{th} term of the arithmetic sequence is

a_n=a_1+(n-1)d

\Rightarrow a_n=22+(n-1)5

\Rightarrow a_n=22+5n-5

\Rightarrow a_n=17+5n

\Rightarrow a_n=5n+17

In the given series number of terms is 6.

So n = 1 to 6.

Write n = 1 in the lower of the sigma and 6 in the top of the sigma.

\sum_{n=1}^{6} 5 n+17

The sum expressed in sigma notation is \sum_{n=1}^{6} 5 n+17.

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X/7 = -3<br> 1. x = -21<br> 2. x = -10<br> 3. x = 4<br> 4. x = 21
SOVA2 [1]
X/7= -3
X= -21

Hope this helps!
5 0
2 years ago
-2/3y-3/4=5 <br> What is the answer i need to show my work please
vodka [1.7K]

Answer:

y=  -69/8  (negative 69 over 8)

Step-by-step explanation:

First, you have to simplify both sides of the equation:

-2/3y+ -3/4 =5

Second, add 3/4 to both sides:

-2/3y +-3/4 + 3/4=5 +3/4

-2/3y= 23/4

Next, multiply both sides by 3/(-2) (3 over -2)

(3/-2)*(-2/3y)= (3/-2) * (23/4)

<em><u></u></em>

<em><u>y= -69/8</u></em>

7 0
3 years ago
What is 2213 divided by 17
igor_vitrenko [27]

Answer:

130.18

Step-by-step explanation:

7 0
3 years ago
5/2=? ?/? ill give brainliest
adoni [48]

Answer:

Okay so you jsut gotta divide

5/2 is basically saying 5 divided by 2, the bar basically means divide by.

Now 5/2 is 2.5

2.5 into a mixes is 2 1/2

7 0
2 years ago
Help! Help! Help! Help!
just olya [345]

Answer:

  about $2269

Step-by-step explanation:

If we assume the aspect ratio of the two screens is the same, then the area is proportional to the square of the diagonal dimension.

__

The diagonal dimension of the larger HDTV is 65/32 ≈ 2.0313 times that of the smaller one. So, the price is expected to be ...

  $550 × 2.0313² ≈ $2269.29

You expect the 65" HDTV to cost about $2269.

7 0
1 year ago
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