Will give! Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible.

To prepare for the event, she is practicing and keeping track of her time to complete each station
The X-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1,3), (2,6), (3, 12). (4, 24)

Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer.

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work.

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work.

Give me a pic of the assignment and I will do it  

Step-by-step explanation:

Part A:

A a sequence of numbers will be a geometric sequence which follows a pattern were the next term is determined by multiplying by a constant. That constant is called the common ratio.

So, the given data (3, 6, 12, 24) is a geometric sequence as each and every next term can be easily determined by multiplying the previous term by a constant 2. So, 2 will be the common ration; and it is denoted by r.

Part B:

A recursive formula determines each term of a sequence using preceding term or terms.

So,

the recursive formula will be:

where a₁ is the first term and aₙ is the nth term.

The time she will complete station 5 will be the a₅

So, putting n = 5 in

We determine,

So, she would take 48 minutes to complete the station 5.

Part C:

An explicit formula defines the nth term.

As 'r' can be obtained by dividing each number in the geometric sequence from the number that precedes it.

So,

r = 6/3 = 12/6 = 24/12 = 2

Also, a = 3 is the first term

So, an Explicit formula of geometric sequence will be:

Putting n = 9 to find the time she will complete the 9th station in the explicit formula:

So, she would take 768 minutes to complete the 9th station.

Step-by-step explanation:

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

x = 3 ± √(5+y)