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
neonofarm [45]
3 years ago
5

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Mathematics
1 answer:
Maru [420]3 years ago
4 0

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

a_n=a_1+(n-1)d

For the 15th, term it will be

a_{15}=-3+(15-1)d\\53=-3+14d

Adding 3 on both sides

53+3 = -3+3 + 14d\\56 = 14d

Dividing both sides by 14

\frac{56}{14}=\frac{14d}{14}\\d=4

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

You might be interested in
40 points urgent really need answer
Kipish [7]

a_1=1\\a_2=1+4=5\\a_3=5+2\cdot4=5+8=13\\a_4=13+3\cdot4=13+12=25\\a_5=25+4\cdot4=25+16=41\\a_6=41+5\cdot4=41+20=61

Answer: d. 25 + 16 = 41

6 0
3 years ago
3) Sue bought a triangular shaped piece of wood
olga_2 [115]

Answer:

12 inches of fabric

Step-by-step explanation:

Area of a triangle = hight x base

so 6 x 2 = 12

12 inches of fabric is your answer

Hope this helps :)

6 0
3 years ago
Combine like terms 7a - a+ 16 = ?
dexar [7]
6a+16

Explanation:
If there's just a variable, there's an understood 1 in front of it. So what that really says is:

7a-1a+16

So, you combine the a's. 7a minus 1a is 6a. Same as 7-1,but you have a variable stuck on the end of it.

6a+16

:^)
4 0
3 years ago
Read 2 more answers
The perimeter of an isosceles triangle is 65 centimeters. Find the length of the two equal sides when each is 10 centimeters lon
natita [175]

Answer: the length of each of the two equal sides is 25 centimeters

Step-by-step explanation:

Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.

Let y represent the length of the third side.

The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that

2x + y = 65 - - - - - - - - - 1

Each of the equal sides is 10 centimeters longer than the third side. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

2(y + 10) + y = 65

2y + 20 + y = 65

2y + y = 65 - 20

3y = 45

y = 45/3 = 15

Substituting y = 15 into x = y + 10, it becomes

x = 15 + 10 = 25

5 0
3 years ago
The angle bisector of
klemol [59]
A is correct. Hope my answer helped u :)
6 0
3 years ago
Other questions:
  • A rectangular field is 400 meters long and 300 meters wide area in square kilometers
    13·1 answer
  • Write the fraction as a percent if necessary round to the nearest tenth of a percent 5 2/5
    15·1 answer
  • A gross is equal to 144 items. A baker's dozen is equal to
    14·1 answer
  • A recipe for 1 apple pie calls for 6cups of sliced apples. How many cups of sliced apples are needed to make 4 apple pies?
    6·2 answers
  • Explain also please
    10·1 answer
  • Question 2
    7·2 answers
  • Jack rents a car for one day for a fee of $25.50. the company charges $1.50 for each mile that jack drives. jack does not want t
    13·1 answer
  • The data set on the right represents . Which formula should be used to calculate the variance? A teacher recorded all of his stu
    5·1 answer
  • The ratio of the angle measures in a triangle is 11 : 14 : 20. Find the angle measures. Then classify the triangle by its angle
    14·1 answer
  • Christie bought two kids’ meals today for $7.30. Yesterday, she bought three kids’ meals for $10.95. The equation p = km represe
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!