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gregori [183]
3 years ago
11

What is the common difference between successive terms in the sequence?

Mathematics
2 answers:
anzhelika [568]3 years ago
7 0
Look at each term. How does the next one change? what is added?

The answer is 6, because there is an increase of 6 for each term
Mars2501 [29]3 years ago
4 0

Answer:

common difference  = 6.

Step-by-step explanation:

Given : 2, 8, 14, 20, 26, ......

To find : What is the common difference between successive terms in the sequence.

Solution : We have given that 2, 8, 14, 20, 26, ......

Common difference (d)  = a_{2} - a_{1}.

Where ,  a_{2}. = any term other than first term

a_{1}. = previous term.

Then common difference =  8 - 2 = 6.

14 - 8 = 6.

20 - 14 = 6.

Therefore, common difference  = 6.

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Find the slope of the line passing through the points (-3,3) and (4,3)
garri49 [273]

Answer:

slope =   \frac{3 - 3}{4 - ( - 3)}

= 0

8 0
3 years ago
The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the
Fynjy0 [20]

Answer:

We conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

Step-by-step explanation:

Given

  • The point (-2, 3)

<u>Checking option A</u>

Given the equation

y = 3x-2

substitute x = -2 and y = 3

3 = 3(-2) - 2

3 = -6 - 2

3 = -8

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y = 3x-2.

<u>Checking option B</u>

Given the equation

y = -x+1

substitute x = -2 and y = 3

3 = -(-2)+1

3 = 2+1

3 = 3

TRUE!

L.H.S = R.H.S

Thus,

The point (-2, 3) satisfies the equation y = -x+1.

<u>Checking option C</u>

Given the equation

y=x-1

substitute x = -2 and y = 3

3 = -2-1

3 = -3

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=x-1.

<u>Checking option D</u>

Given the equation

y=2x+3

substitute x = -2 and y = 3

3 = 2(-2)+3

3 = -4+3

3 = -1

FALSE!

L.H.S ≠ R.H.S

Thus,

The point (-2, 3) does not satisfy the equation y=2x+3.

Conclusion:

Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.

Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.

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