All categories

3 years ago

Does the following infinite series converge or diverge? And does it or does it not have a sum 1/3-2/9+4/2718/81+...

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

Diverges

Step-by-step explanation:

See Image.

You might be interested in

What is the mass of 75¢ in nickels?

Dima020 [189]

According to the United States Mint, the mass of 1 nickel is 5.000 g.

$\dfrac{\$0.75}{\$0.05} = 15$

There are 15 nickles in 75 cents worth of nickels.

15 * 5.000 g = 75.000 g

Answer: 75.000 grams

6 0

3 years ago

The percentage of water in an unknown hydrate was determined by heating the sample and driving the water off the sample. Two ind

Bas_tet [7]

Answer:

It should be reported as 20.648%

Step-by-step explanation:

Since we have 2 different observed values hence we shall use an average of the 2 values to report the result

Thus value is $\frac{19.564+21.731}{2}=20.6475%$

As we can see that the least count of our observations is upto 3 decimal places hence we have to report a result upto only 3 decimal places thus we need to round off the fourth decimal place thus the digit shall be increased by 1 since we have to drop off 5 and the digit before 5 is 7 which is an odd number.

Thus the result shall be 20.648%

8 0

3 years ago

Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD.

egoroff_w [7]

Side FG is proportional to side BC. When showing that two figures are similar, they should always be typed in the order of the points they correspond to. In this instance, ABCD ~ EFGH, meaning that AB ~ EF, BC ~ FG, CD ~ GH, and AD ~ EH. Let's use a simpler example, with similar triangles MNO and XYZ.

MNO ~ XYZ Since the two triangles are written in this specific order, each side should be similar to the side in the same order on the other triangle.
MN ~ XY
NO ~ YZ
MO ~ XZ

Hope this helps!

3 0

3 years ago

Use properties of addition to find each sum. Identify the property that you used

9966 [12]

Well you would move the order around to 13+7+29 and that would be the commutative property

4 0

3 years ago

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

7 0

3 years ago