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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

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Please help i need this
Svet_ta [14]

Slope Formula - (y² - y¹) / (x² - x¹)

(1, 7)

x¹ = 1

y¹ = 7

(-4, -8)

x² = -4

y² = -8

-8 - 7 = -15

-4 - 1 = -5

Simplify - -15/-5

-15/5 = -3

Your answer is -3.

Hope this Helps!!


5 0
3 years ago
Please include work!
geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

5 0
3 years ago
The perimeter of a triangle is 34cm. What are the lengths of the sides if the first side is twice the length of the second side
dybincka [34]

Answer:

8sm, 16sm, 10sm

Step-by-step explanation:

the first side of the triangle: x

the other side of the triangle: 2x

the third side of the triangle: x+2

the perimeter of the triangle: x+2x+x+2=34

4x=32

x=8

2*8=16

8+2=10

4 0
2 years ago
What is the quotient of 1/6 divided by 2?
Yakvenalex [24]

Answer:

1/12 or 0.083

Step-by-step explanation:

3 0
3 years ago
If 6 men finish a piece of work in 8 days, how long will it rake 4 men to​
Anna11 [10]

Answer:

6 men finish a piece of work in 8 days

1 men finish a piece of work in 8*6 days

4men will finish a piece of work in 48/4

days

..

which is equal to 12 days

7 0
3 years ago
Read 2 more answers
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