Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is
Find the 19th term of the arithmetic sequence
Now we know that,
Put all the value in above AP.
So, term of the sequence is 73.
Answer:
The students can group themselves in 360360 ways
Step-by-step explanation:
For this exercise we need to use the following equation:
This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell
In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:
Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.
Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.