1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
How do I show my work if these are parallel or not?
JulijaS [17]

You can determine if things are parallel if the lines will eventually meet or not. M and N are one line while P and Q are also a line. Therefore, we can say P is one line while M is also one line. The answer would be is that they are parallel, the two lines will not crash with one another. To show your work as if they are parallel, you can continue the lines down and write a note saying they won't collide or you just say they won't collide and are parallel lines.

6 0
3 years ago
What is the product of -3 and 5
weeeeeb [17]

Answer:

45 is the correct answer

6 0
3 years ago
Read 2 more answers
You work at a craft store that sells paint kits. The kits have 4 thin paintbrushes for every 6 thick brushes. What is
liq [111]

Answer:2:3

Step-by-step explanation:

if you were to simplify the ratio just like you would a fraction you would get 2:3

6 0
3 years ago
Read 2 more answers
3.2666 rounded to the nearest hundredth
enyata [817]

Answer:

3.27

Step-by-step explanation:

Hope it helps!!!

5 0
3 years ago
Answer really quick please
Sergio [31]

Answer:

1

Step-by-step explanation:

Please mark as brainliest!

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the slope between (0,3) and (6,2)
    7·2 answers
  • WILL UPVOTE
    9·2 answers
  • WILL GIVE BRAINLIEST TO CORRECT ANSWER!
    13·1 answer
  • Solve for the unknown side in the right triangle if b=24 and c=26 find a
    6·2 answers
  • What is 130%of20$???!!!!!
    14·2 answers
  • Angelina has a collection of Nickles and dimes worth 4.65 . If she has 70 nickles and dimes , how many of each does she have ?
    7·2 answers
  • 25. In the diagram, CT = 10.<br> What is the length of AB?
    10·2 answers
  • WILL GIVE BRAINLIEST!
    6·1 answer
  • Write'15 cubed' as a power.​
    5·1 answer
  • I will give Brainly ! help please its geometry I will give brainly <br> Thank you for your time.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!