All categories

3 years ago

What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?

Mathematics

2 answers:

natima [27]3 years ago

8 0

Answer:

the common difference of the sequence (d) = -3

Step-by-step explanation:

Given sequence is 1st term, 2nd term, 3rd term

= 5, 2, -1

It is an arithmetic sequence.

The common difference (d) = second term - first term

d = 2 - 5

d = -3

Therefore, the common difference of the sequence (d) = -3

Hope this will helpful.

Thank you.

vodka [1.7K]3 years ago

5 0

The correct answer to this problem would be -3. Based on the points you've provided on the graph, -3 would be the correct common difference. :)

You might be interested in

A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

Find the volume of the rectangular

Kobotan [32]

Answer:

Hope this will help you

Step-by-step explanation:

$volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3}$

4 0

2 years ago

How long will it take a car to travel 400 miles at an average rate of 50mph

wel

The answer is 8 hours

5 0

3 years ago

Please help me I honestly have zero clue how to answer this question

Iteru [2.4K]

Step-by-step explanation:

$n = 3 \times 5 {}^{2} \times {x}^{3}$

Square both sides of the equation.

${n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )$

$5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )$

6 0

3 years ago

A car rents for $250 per week plus $0.50 per mile.find the rental cost for a two-week trip of 500 miles for a group of three peo

Artyom0805 [142]

So 2 weeks mean
250x 2= 500
Then .50 per mile so 500 miles mean
.50 x 500= 250
In total it will be
500+250= 750

5 0

3 years ago