Given the arithmetic sequence 7,5,3,1,-1,
write the recursive rule.

Given the arithmetic sequence 7, 5, 3, 1, -1 Then the recursive rule is

Solution:

Given that, an arithmetic sequence is 7, 5, 3, 1, - 1  

We have to write the recursive rule for the above given arithmetic sequence

Now, let us find the common difference for the above given arithmetic sequence,

Common difference d = any term of sequence – its previous term

d = 5 – 7 = - 2

So, common difference d = - 2

Now, we know that, recursive rule is an equation that gives the next value by performing certain operation on the previous value.

Here for any arithmetic sequence, it will be nth term = (n – 1)th term + common difference

Hence, the recursive rule is

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: