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
trasher [3.6K]
3 years ago
12

Which expression defines the given series for seven terms? 8 + 13 + 18 + . . .

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

The given question is 8+13+18+...... which is in arithmetic progression . And for arithmetic series, we have to use the following formula for nth term .

a_{n} = a + (n-1)d

Here a =8 , d=5

So we get

a_{n} = 8+(n-1)5 = 5n +3

And the required expression for n=7 is

\sum_{n=1}^{7}(5n+3)

You might be interested in
Can someone explain to me in words how to do this problem 3x+122=22x-11
inn [45]

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11     (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x             -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

8 0
3 years ago
In triangle abc, the length of side and is 10 inches and the length of side be is 17 inches . Which of the following could be th
earnstyle [38]

Answer:

a^2=b^2+c^2.

a^2=10^2+17^2.

a^2=100+289.

a^2=389.

a=√389.

a=19.72~20cm.

5 0
3 years ago
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep
Fynjy0 [20]

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275   (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25   (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Find out more at: brainly.com/question/25285332

5 0
2 years ago
I need help with this!
ruslelena [56]
|12| ÷ 2 • |-5|
= 12 ÷ 2 • 5
= 6 • 5
= 30
Absolute values just make the number positive if it is negative. The number stays positive if it’s positive.
7 0
3 years ago
Let p = x2 + 6.<br> Which equation is equivalent to (22 + 6)2 – 21 = 4x2 + 24 in terms of p?
Alona [7]

Answer:

\frac{35}{4} =p

Step-by-step explanation:

p=x^{2} +6,

(22+6)2-21=4x^{2} +24

44+12-21=4x^{2} +24

35=4x^{2} +24,

If you factor out the equation, you get that 35=4p(if you factor it out)

Therefore,\frac{35}{4} =p

4 0
3 years ago
Other questions:
  • Keiko estimated the height of her office building to be 45 ft. The actual height of her office building is 42 ft
    5·1 answer
  • Randy is flying a kite in which the length of the line to the kite is 88 feet long. If the height measurement shown of the kite
    8·2 answers
  • Circle the numbers divisible by 2.<br><br>320;5,763; 9,308; 5,857;3,219; 5,656; 83,001;53,634​
    11·1 answer
  • What are the steps to doing 9 1/6+6 1/4+ 4 5/6
    14·1 answer
  • Write the decimal equivalents of these two fractions: 1/8 and 3/4
    15·2 answers
  • What is the coefficient in the expression 4x + 2 <br>O2<br>O4<br>Ox<br>O+​
    9·1 answer
  • ZABD and ZDBC are supplementary angles.
    6·2 answers
  • What is the square root of 4
    12·2 answers
  • (Smart people will get this) #10
    8·1 answer
  • MARKING BRAINLIEST
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!