Answer:
is the nth term of the given sequence.
Step-by-step explanation:
The sequence given is

We can clearly see that 1st term is
and 2nd term is
2nd term is obtained by multiplying the 1st term by 2.
2nd term is
and 3rd term is 1.
3rd term is obtained by multiplying the 2nd term by 2.
3rd term is 1 and 4th term is 2.
4th term is obtained by multiplying the 3rd term by 2.
Clearly, the given series is a <em>Geometric Progression(GP)</em> with
First term, 
Common Ratio,
We know that
term for a GP is:

Putting values of <em>a</em> and <em>r</em>

Hence,
is the nth term of the given sequence.
Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Since, the function F(x) represents the monthly earnings of sales executive, which consists of a base salary and a commission earned on each scale, where 'x' is the number of sales.
So, the function F(x) can be expressed as:
F(x)= base salary+ commission earned on each sale (x) where 'x' represents the number of sales done.
So, F(0)= base salary + 0 ( As x=0 implies there was no sale)
And the executive earned only his base salary and no commission as he did not make any sale, and the commission was dependent upon the number of sales (x).
Hence, F(0) represents the base salary.
So, Option J is the correct answer.
The unit rate of the car is simply the average speed of the car between the two points.
The unit rate of the car is 40 miles per hour
From the diagram (see attachment), we have:
- The distance between the two points is: 80 miles
- The time spent to cover this distance is: 2 hours
<h3>The unit rate</h3>
So, the unit rate is:

This gives

Simplify the quotient

Hence, the unit rate of the car is 40 miles per hour
Read more about unit rates at:
brainly.com/question/4931057
Answer:
6
Step-by-step explanation:
1 1/2 = 3/2
3/2 / 1/4 = 3/2 * 4 = 12 / 2 = 6