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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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densk [106]
Her sister can do 16 push ups
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3 years ago
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What od linear algebra exactly?
Alex73 [517]

Answer:

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<h3>mark me a brainlist</h3>

5 0
3 years ago
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari
lesantik [10]

The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.

Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:

C = 2A

C = N + 3

C = S/2

S - N = C + A

S = 2C, N = C - 3 and A = C/2, therefore we have

2C - (C - 3) = C + C/2

C + 3 = C + C/2

C/2 = 3 and C = 6

A = C/2

A= 6/2

A = 3

N = C - 3

N = 6 - 3

N = 3

S = 2C

S = 2 x 6

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8 0
3 years ago
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
3) Two cars leave Cincinnati at the same time. Car A moves East at a constant speed of 60 miles per hour, while car B
Inessa [10]

Answer:

D). 262.5 miles.

Step-by-step explanation:

The speed at which they are drawing apart = 60 + 45 = 105 mph.

So in 2.5 hours they wiil be

2.5 * 105

= 210 + 52.5

= 262.5 miles.

4 0
2 years ago
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