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
Am i right brainliest going to first correct answer
Firdavs [7]
The solution to the inequality is -20.8 > p (imagine the symbol is the symbol for at least)
5 0
2 years ago
Read 2 more answers
Louis is 20 years old. Her daughter is 4 years old. In how many years will Louis double her daughter's age?
Radda [10]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What does "As Much" mean in math? I am doing homework and I don't want to fail so I really need help.
igor_vitrenko [27]
It means the same used in a question like this, is 25 as much as 25.
4 0
3 years ago
1. The diameter of a sphere is 21.6 cm. The volume of the sphere is __
sveta [45]
Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3
6 0
1 year ago
Read 2 more answers
1) What is the measure of Zx for the quadrilateral inscribed in a circle?
Viktor [21]

Answer:

1) D

2) D

Step-by-step explanation:

1. Use 360 - x˚ - y˚ - 117˚ - 62˚

2. Recognize that 1) can be either 62 or 63

3. Plug either number into x to get y

4. y = 118 when x = 63

5 0
3 years ago
Other questions:
  • Please help me ASAP!!!!!!!!
    14·2 answers
  • Is 1.99 a rational number?
    10·2 answers
  • X - 2y = -10 find the x and y intercepts
    13·1 answer
  • The formula for converting the length from meters to centimeters is given as M = . Rewrite the following equation so that C is a
    6·1 answer
  • What is the difference in the measures of the radii of cylinder Y and cylinder Z, in inches?
    14·2 answers
  • The volume of the triangular prism is 54 cubic units.
    8·2 answers
  • The whole number 330 is divisible by 2 3 5 6 10 and 11
    11·1 answer
  • A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 5.5 feet, how many
    10·1 answer
  • Plz help ASAP, giving brainliest!
    15·1 answer
  • Adam currently runs about 40 miles per week, and he wants to increase his weekly mileage by 10%. How many miles will Adam run pe
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!