Two terms in a geometric sequence are a5=15 and a6=1.

What is the recursive rule that describes the sequence?

A) a1=50,625; an=an−1⋅15

B) a1=11,390,625; an=an−1⋅15

C) a1=759,375; an=an−1⋅115

D) a1=225; an=an−1⋅5

(1)

(2)

If we divide equations (2) and (1) we got:

And then

And then we can find the value and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

Step-by-step explanation:

the general formula for a geometric sequence is given by:

For this case we know that

Then we have the following conditions:

(1)

(2)

If we divide equations (2) and (1) we got:

And then

And then we can find the value and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

1 1/5

step-by-step explanation: