All categories

3 years ago

Determine whether the following sequence is arithmetic, geometric, or neither.

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Answer:

arith

Step-by-step explanation:

Let's check whether or not this is a geometric series.

The first term is 1 1/3, or 4/3.

What would the common ratio be, to convert this 4/3 into the 2nd term, 2?

(4/3)r = 2, or r = 2(3/4) = 6/4 = 3/2.

Assuming that the common ratio is r = 3/2, will multiplying 2 by 3/2 result in the 3rd term, 2 2/3? NO. So this is NOT a geometric progression.

The difference between 1 1/3 and 2 is 2/3. If we add 2/3 to 2, we get 2 2/3, which agrees with the given 3rd term.

If we add 2/3 to 2 2/3, do we get the fourth given term, 3 1/3?

2/3 + 2 2/3 is equivalent to 2 4/3, or 10/3, which is equivalent to 3 1/3.

Thus, this IS an arithmetic sequence, and the common difference is 2/3.

You might be interested in

24 POINTS!!!!!!!!!!!

Sindrei [870]

The angles are supplementary.

6 0

3 years ago

Read 2 more answers

the median of the values in a data set is y. if 48 were subtracted from each of the values in the data set what would be the med

Nataliya [291]

Answer: Y-48

If the median of the values in the data set is Y, it means that Y is the value in the middle of the data set. If 48 will be deducted from each of all values in the data set including Y, then the median of the resulting value will be Y-48.

3 0

2 years ago

Read 2 more answers

Which planet is an inner planet, and which one is an outer planet? Explain your answer.

Paraphin [41]

Answer:

Planet A is an outer planet, and planet B is an inner planet. Inner planets rotate slowly, so they take more time to complete a rotation. Outer planets rotate faster, so they take less time to complete a rotation.

your welcome !!!

5 0

3 years ago

Suppose a 2011 Gallup poll revealed that 76% of Americans believe that high achieving students should be recruited to become tea

k0ka [10]

Answer:

95% Confidence interval: (0.73,0.79)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1021

Percentage of Americans believe that high achieving students should be recruited to become teachers

$\hat{p} = 76\% = 0.76$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get:

$0.76\pm 1.96(\sqrt{\dfrac{0.76(1-0.76)}{1021}})\\\\ = 0.76\pm 0.0261\\=(0.7339,0.7861)\\\approx (0.73,0.79)$

5 0

3 years ago

In the following exercises, multiply the binomials. Use any method. 248. (m + 11)(m − 4)

romanna [79]

Answer:

Hence the expression $(m+11)(m-4)=m^2+7m-44$

Step-by-step explanation:

Explanation

The given expression is (m+11)(m-4).
We have to multiply the given expression.
Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}$

_____________

${\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$$

6 0

1 year ago