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2 years ago

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81

Mathematics

2 answers:

Norma-Jean [14]2 years ago

8 0

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

Lynna [10]2 years ago

3 0

Answer:

Converge

Step-by-step explanation:

The value of r in this infinite series is 2/3.

If the absolute value of r is less than 1, then the infinite series converges.

Since 2/3 is less than 1, the series must converge.

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The Egyptians used a ramp that could hold 1,000 pounds. If 6 people got on the ramp and they weighed 780 pounds total. What perc

Klio2033 [76]

Answer:

22%

Step-by-step explanation:

1000-780=220

220/1000=0.22, or 22%

6 0

2 years ago

Zack has two savings accounts with the total of $9,000. He withdew 10 percent from one and 60 percent from the other to buy his

klio [65]

The remaining balances in the first and second account are $5805 and $1020 respectively.

Explanation

Suppose, the initial balance in the first account was $x$ dollar.

As the total amount in two accounts was $9000, so the initial balance in the second account was $(9000-x) dollar$

He withdrew 10% from the first and 60% from the second account to buy the ring which cost $2175. So, the equation will be......

$0.10x+0.60(9000-x)=2175\\ \\ 0.10x+5400-0.60x=2175\\ \\ -0.50x= 2175-5400= -3225\\ \\ x=\frac{-3225}{-0.50}= 6450$

So, the initial balance in the first account was $6450 and in the second account was ($9000 - $6450)= $2550

Thus, the remaining balance in the first account = 90% of $6450 = $(0.90*6450)= \$5805$

and the remaining balance in the second account = 40% of $2550 = $(0.40*2550)=\$1020$

3 0

2 years ago

Order the following from greatest to least

jekas [21]

10. -8 1/2, -7.2, 47/9, 5 1/4, 6.75

3 0

2 years ago

What is 0.125, 0.09 and 11 over 100 as percentages?

makvit [3.9K]

For decimals, move the decimal point 2 units to the right to get the percentage.
0.125 = 12.5%
0.09 = 9%

for fractions, if it is over 100, make it the percentage of the number
so for 11 over 100, it is 11%
for example, 50 over 100, it is 50%

if it is not over one hundred, divide the numerator to denominator to get a decimal, and then make it into a percentage
for example 11/35. 11 divided by 35 is 0.31
0.31 = 31%

that is just an example

hope this helps

8 0

2 years ago

What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

Orlov [11]

<h3>given:</h3>

base= 25 mm

height= 28 mm

the volume of the square pyramid.

<h3>solution:</h3>

$volume = {a}^{2} \frac{h}{3}$