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notsponge [240]
3 years ago
13

What is the common difference between consecutive terms in the following arithmetic sequence? 51, 47, 43, 39, ...

Mathematics
2 answers:
andriy [413]3 years ago
7 0

Answer:

tHE ANSWER IS -4 (B) BECAUSE YOU ARE TAKING AWAY FROM THE POSITIVE VALUE AND WORKING IN DESCENDING ORDER.

Step-by-step explanation:


murzikaleks [220]3 years ago
6 0

Answer: B)-4

Step-by-step explanation:

In Arithmetic sequence , the common difference is the difference between any two successive terms. It is equal throughout the sequence.

Given arithmetic sequence : 51, 47, 43, 39, ...

Here , First term = 51

Second term = 47

Then the common difference =  Second term - First term

i.e. Common difference = 47-51 =-(51-47)=-4

Hence, the common difference between consecutive terms in the following arithmetic sequence= -4

Thus , the correct answer is option B)-4 .

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4 0
3 years ago
Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

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y

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−

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1

where

m

is the slope and the x and y terms are for the points:

(

x

1

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y

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and

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2

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y

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)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

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3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

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2 years ago
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Answer:

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Step-by-step explanation:

8 0
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