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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

2 years ago

5.

adelina 88 [10]

Answer:

IHG= scalene

HJI= isosceles

KHI= scalene

HJK= equilateral

4 0

2 years ago

What is the total cost of a pair of jeans that are priced $40.00 if there is a 6.5% sales tax? $40.65 $42.60 $44.00 $46.50

-Dominant- [34]

A pair of jeans = $40.00
There is a 6.5% sales tax.

First change the % into a decimal by moving the decimal point two spaces to the left.
0.065

Multiply that by 40.00 to find out how much the tax is.

40 × 0.065 = 2.6

Now add the tax to the initial price.
40.00 + 2.6 = 42.60

The total cost is $42.60.

8 0

2 years ago

Read 2 more answers

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk

cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0

2 years ago

Simplify 32^-1/5 Thanks in advance!!!

jeka94

Fractional index means "xth root of". Negative index means a fraction. So together, what it really means is:

$\frac{1}{\sqrt[5]{32}} = \frac{1}{2}.$

3 0

2 years ago