1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
2 years ago
5

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000​

Mathematics
1 answer:
stiks02 [169]2 years ago
6 0

Answer:

hello,

Step-by-step explanation:

u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^{n-1}\geq 100000\\\\3^{n-1}\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\

You might be interested in
What is the surface area of a rectangular prism that has a length of 9 feet a width of 5 feet and a height of 7.5 feet
lukranit [14]

Answer:

300

Step-by-step explanation:

find the sum of area of all sides

6 0
3 years ago
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0
3 years ago
Read 2 more answers
2. To which set or sets does the number -14
zhuklara [117]
It is d im pretty sure
3 0
3 years ago
Mr. Hong brought his 7 year-old daughter, Jin and his 10 year-old son, Cai, to Redwood Amusement Park. An Admission ticket coste
kompoz [17]
$20.25 because 8.50 and 8.50 equal 17 and then subtract 2.00 makes 15, and then add 5.25 and you end up with 20.25
4 0
3 years ago
A customer buys 40 meters of cable. How many centimeters of cable did the customer buy ? (1 meter = 100 centimeters
storchak [24]

Answer:4000

Step-by-step explanation:40 times 100 is 4000

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the answer to 5 x 5/8
    11·2 answers
  • Stefan is measuring the angles of a triangle. He measures the first angle and gets a measure of 90°. What does he know about the
    13·2 answers
  • Part A
    9·2 answers
  • The solution to 2x+8&gt;10 is x&lt;1 <br> true or false
    11·2 answers
  • Farmer fred has 200 sheep on his farm. he sells 40 of them. what percentage of his sheep does he have left?farmer fred has 200 s
    8·2 answers
  • An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
    12·1 answer
  • What is -10+2 because this is really confusing to me.
    5·2 answers
  • Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference
    12·1 answer
  • Help. I have a D in this class.
    7·1 answer
  • 69.92 divided by 7.6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!