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
USPshnik [31]
3 years ago
11

Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0
a_1=-8\\
r=5\\
a_n=67\\\\
a_n=a_1+(n-1)r\\
67=-8+(n-1)\cdot5\\
67=-8+5n-5\\
5n=80\\
n=16\\\\
\displaystyle
\sum_{i=1}^{16}(-8+(n-1)\cdot5)=\sum_{i=1}^{16}(-8+5n-5)=\boxed{\sum_{i=1}^{16}(5n-13)}
You might be interested in
A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
Is 5 1/2 bigger then 5 3/8
Liono4ka [1.6K]

1/2 and 3/8

equivalent

1/2 = 4/8

so 4/8 is greater than 3/8

Answer

5 1/2 is bigger than 5 3/8

6 0
2 years ago
Read 2 more answers
Which of the following accurately compare 15-√105 and 5?
IceJOKER [234]

Answer:

What are the following?

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is a rational number between -1/4 and 2/5
Sliva [168]
.20 is a rational number between -1/4 and 2/5.

It can be part of a ratio.

20:100

A fraction

20/100 or 1/5

I hope this helps!
~cupcake
4 0
3 years ago
The math club makes 35 bars of laundry soap a week and sells these at $20 each before the soap could be sold , the pupils found
Svet_ta [14]

Answer:

Step-by-step explanation:

The math club makes 35 bars of laundry soap a week and sells these at $20 each. This means that the total number of bars of laundry soap made in a 4 week month would be

4 × 35 = 140 bars

If the pupils found that 6 bars were destroyed by mice, the total number of bars of soap left would be

140 - 6 = 134 bars

Therefore, the total sale at the end of a four week month would be

134 × 20 = $2680

7 0
2 years ago
Other questions:
  • The square of a number is 16. Do you know the number?
    5·1 answer
  • X = 8 , m = 3 , EVAULATE !!!! <br> ILL GIVE YOU BRAINLIST SHOW WORK !!!
    7·2 answers
  • Someone please help me... :\
    8·2 answers
  • candy weighs a pumpkin at 12.23 pounds. if she splits it into four pieces, how much would each piece weigh ?
    13·2 answers
  • Help with this algebra question please <br> thank you
    11·2 answers
  • In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. In the survey,
    9·1 answer
  • Use the substitution method to solve the system of equations. Choose the correct ordered pair.
    15·1 answer
  • Write as a decimal plzzzzzz thanks
    7·1 answer
  • M=Q/t <br>Solve for Q (show work)​
    11·1 answer
  • The volume of a sphere is 4,500π cubic yards. What is the radius of the sphere?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!