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
trapecia [35]
3 years ago
8

In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

You might be interested in
Write an equation or inequality to represent the scenario:
aniked [119]
<h3><u>The value of x is equal to 1.</u></h3><h3><u>6(x + 2) = 20x - 2</u></h3>

<em><u>Distributive property.</u></em>

6x + 12 = 20x - 2

<em><u>Add 2 to both sides.</u></em>

6x + 14 = 20x

<em><u>Subtract 16x from both sides.</u></em>

14 = 14x

<em><u>Divide both sides by x.</u></em>

x = 1

6 0
3 years ago
Plot and label all the points that are 4 units from point P AND that share the same x coordinate as point P. Write the coordinat
Lilit [14]
The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)





Hope this helped :)
7 0
2 years ago
Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5.
stiks02 [169]

The mean absolute deviation (MAD), refers to the mean of the data's absolute deviations around the data's mean.

The MAD implies that Evelyn scores are more spread out than Robin scores.

The given parameters:

  • <em>Robin scores = 99, 108, 102, 107 119</em>
  • <em>Mean of Robin score, = 107</em>
  • <em>Mean absolute deviation = 5.2</em>
  • <em>Evelyn scores = 125, 137, 138, 145</em>
  • <em>Mean of Evelyn score = 5.6</em>

The mean absolute deviation (MAD), refers to the mean of the data's absolute deviations around the data's mean. It implies the absolute distance from the mean of the data set.

The absolute distance of Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

Thus, we can conclude that Evelyn scores are more spread out than Robin scores.

Learn more about mean absolute deviation here: brainly.com/question/17381861

5 0
3 years ago
What are the values of a and b? (500 + ax)(50 - bx) pls hurry
gregori [183]

Answer:

Step-by-step explanation:

Perform the indicated multiplication first:

25000 - 500bx + 50ax - abx²

It would seem that this should be part of an equation, and that the other part is missing; without another part, there's no way to determine the values of a and b.  Please ensure you have copied this problem down completely.

3 0
3 years ago
Why is it important to represent these unknown values with variables
balu736 [363]
As created (the concept) by Descartes, a variable is an alphabetic character used to represent unknown values. They are extremely useful when solving algebraic calculations allowing us to solve a range of calculations in simpler computations.
7 0
3 years ago
Other questions:
  • write a compound inequality that represents the situation. all real numbers that are greater than –6 but less than 6 a. –6 ≤ x &
    5·1 answer
  • Find the derivative of y=sin^(2)(x)cos^(2)(x)
    9·1 answer
  • The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a.8.1 c.
    7·1 answer
  • A district manager rewards sales teams based on overall sales generated in a month. The data for earnings are shown in the table
    9·2 answers
  • A tablet computer costs 189.69. it is marked up 30%. What is the final price of the tablet computer after its marked up.
    10·2 answers
  • Please help and i have to be done with my work by tomorrow
    5·1 answer
  • 2 . log m = log 36 kinda stuck
    11·1 answer
  • When you translate a finger left does the x-or y-coordinates change
    9·1 answer
  • AB = BC. BD bisects ABC​
    10·1 answer
  • There are six bottles of juice for the same size and we need to make each kid have a 1/3 of a bottle how many kids will there be
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!