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
Reptile [31]
3 years ago
9

13. For the arithmetic sequence: 6, 12, 18, 24,...

Mathematics
1 answer:
serg [7]3 years ago
4 0

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

You might be interested in
Write an equation in slope-intercept form for the line that passes through the
Pavlova-9 [17]
Make slope intercept
3x - y = 5
3x = y + 5
y = 3x - 5
Parallel = same slope
Slope = 3
Y = 3x + b
Plug in the point
-2 = 3(-1) + b
-2 = -3 + b, b = 1

Solution: y = 3x + 1
6 0
3 years ago
Read 2 more answers
To earn extra money before school, Julia shovels snow from her neighbors' driveways for $6 each. This morning, Julia shoveled 27
Brrunno [24]
27 times 6
27*6=162
Julia made $162 that morning
I think that’s right
4 0
2 years ago
Is 4-6x=4 no solution
Basile [38]
No it has a solution
X=0

Subtract 4 from both sides to get -6x=0
Divide by -6 on both sides you get x=0
4 0
3 years ago
Read 2 more answers
What is the best estimate for the product of 289 and 7
Nat2105 [25]
290 * 7 = 1400 + 630 = 2,030
2030 - 7 = 2,023
4 0
3 years ago
Read 2 more answers
— 6р = 48<br> p=<br> I need help please
viktelen [127]
P=- 8. Divide both sides by -6.
7 0
3 years ago
Other questions:
  • Chris is calculating his deductions for his tax return. He is filing singly. He can claim $1,813 from property taxes, $1,513 fro
    13·1 answer
  • Which of the following z-scores indicates the most extreme observation?
    7·1 answer
  • A package of beans in cans costs $32.50. How much does each can cost if there is 20 cans in the package?​
    5·1 answer
  • Find the value of c such that y= x + c is a tangent to the parabola y = x squared - x - 12
    12·1 answer
  • is a number. As a product of prime factors in index form = 2 × 34 × 3 Work out 32 as a product of prime factors in index form. G
    15·1 answer
  • Multiply and simplify : (4x -3)(-2x+1)​
    15·1 answer
  • Compare Elena's and Noah's money using fraction
    7·2 answers
  • Find the product of 8.12 and 2.4<br> Plz someone help .
    7·1 answer
  • What is the probability of tossing two fair coins 200 times?
    12·1 answer
  • Could the triangle shown be a right angle YES or NO
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!