The recursive formula of any sequence gives us two piece of information
1. The first term
2. The pattern or rule that lets you find the given term using the term that comes before it
Here we have

The arithmetic sequence is given by
a+d(n-1)
a is the first term
d is called the common difference or the number that is added to the previous number every time
Here we have a=2, and d=2
Hence the recursive rule is given by

This is the recursive rule for the given function
Answer:
Option B. $5737.62
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute
In this question, the trail is 2940 miles long and Manfred is already hiking the 3/7 of the trail. You are asked how many miles he has a hike. Then to find it you just need to multiply the trail length with the ratio of hike/total trail. The calculation would be:
2940 miles * 3/7 = 1260 miles
The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.
<h3>What is Probability?</h3>
The probability helps us to know the chances of an event occurring.

We know that for two independent events the probability of the two events occurring simultaneously is written as,

Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,

Hence, the probability of event n occurring is 0.3.
Learn more about Probability:
brainly.com/question/795909
The y-intercept is -2 and the slope is 2/3