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
mr Goodwill [35]
3 years ago
9

In an arithmetic sequence, the sum of the first n terms is s_n=n^2. find a_8

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

a_{8}  = 15

Step-by-step explanation:

a_{1} + a_{2} + ..... + a_{7} + a_{8} = 8^{2} = 64

-a_{1} - a_{2} ..... - a_{7} = - 7^{2} = -49    Now add the two equations

                                 a_{8} = 64 - 49 = 15

a_{8}  = 15

You might be interested in
The sum of two consecutive even number's is 66. find the numbers. ​
Elena L [17]

Answer:

32\ and\ 34.

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

x+x+2=66

2x+2=66

Subtract 2 from both sides:

2x+2-2=66-2

2x=64

Divide both sides by 2:

\frac{2x}{2}=\frac{64}{2}

x=32

The smaller number is 32.

Larger number =32+2=34

5 0
3 years ago
The diameter of a sphere is measured to be 4.17 in.
gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

Volume of a sphere is given by

\frac{4}{3} \pi  {r}^{3}

r = 5.30

The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0
4 years ago
HELP PLEASEEE!!!!!!!
LekaFEV [45]

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

5 0
3 years ago
Read 2 more answers
Select all values that make the equation true.
Aneli [31]

Answer:

the only Answer is -4

Step-by-step explanation:

hope this helps

8 0
3 years ago
15 points with easy explanation please​
GaryK [48]

Answer:

that would be 38 degrees

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • 5. this gate contains a series if congruent quadrilaterals. Are the quadrilaterals also parallelograms? Explain.
    14·1 answer
  • HELPPPPP PLEASE!!
    10·1 answer
  • If x is 32 mm what’s the area of the triangle
    10·1 answer
  • What is the percentage of change from 50 to 17
    10·2 answers
  • Write an inequality that represents the statement "x is greater than -3 and less than or equal to 4."
    9·1 answer
  • All of fifth grade is taking a field trip to the math museum. There are 11 classes in total. Nine classes have 29 students each.
    7·1 answer
  • Which expression shows the result of applying the distributive property to 1/4(−3n+3/2)
    13·1 answer
  • I kinda need help again..
    12·2 answers
  • HELP HELPPPP ME PLSSS
    12·2 answers
  • The following data set is given: 122, 130, 145, 154, 165, 178
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!