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
-Dominant- [34]
3 years ago
9

What is a of n equal to? What is the 10tn term in the sequence?

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

nth term, T_n=1(2)^n^-^1

10th term, T_1_0=512

Step-by-step explanation:

From the question;

  • We are given the first term, a_1=1
  • The common ratio, r = 2

We are required to write the formula of getting nth term and find the 10th term of the sequence;

  • We need to know that for nth term in a geometric sequence, we use the formula;

T_n=a_1r^n^-^1

Therefore, in this case;

nth term will be given by;

T_n=1(2)^n^-^1, where n is the term in the sequence;

Therefore;

To get the 10th term of the sequence;

T_1_0=1(2)^1^0^-^1

T_1_0=1(2)^9

T_1_0=512

Therefore, the tenth term of the sequence is 512

You might be interested in
It is impossible to get 6 jacks when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a proba
Vinil7 [7]

Answer:

Probability = 0

Step-by-step explanation:

If something happening is impossible, it's probability of occurring is also 0.

A deck of cards only contains 4 jacks.

Thus you can never get 6 jacks out of the deck without replacing the selected card each time.

Since we are not replacing the cards once we pick them, this event is impossible to occur.

4 0
3 years ago
Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

7 0
3 years ago
The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House
irakobra [83]
So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
3 0
3 years ago
Hi does any one know how to solve this y=__x+__
Karolina [17]

Answer:

y = 50x + 25

Step-by-step explanation:

y = mx + b

7 0
3 years ago
A) 3y = 43 + x<br><br> b) 8y + 5x = 61
3241004551 [841]

Answer:

huh

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • True or False
    12·1 answer
  • Which ordered pair is a solution to the equation 3x-3y=21?
    10·1 answer
  • #4 Kerry created a pattern with rectangles. Her first step contained 1
    15·1 answer
  • Find the perimeter of the image below:
    13·2 answers
  • 2x+3y=12 how do I solve?
    12·1 answer
  • 507 x 8 in standard algorithim
    9·2 answers
  • Lines A and B are parallel
    5·1 answer
  • 12. The point P lies on a line through the midpoint of AB and perpendicular to AB. If AP=15 in., what is the length PB? How do y
    14·1 answer
  • Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
    15·1 answer
  • .
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!