Answer:
9801
Step-by-step explanation:
Given the general term for calculating the nth term of a sequence;
Sn = n²
Where n is the number of terms.
To find the 99th term of the sequence using the nth term of the sequence;
Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;
S99 = 99²
S99 = 9,801
Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x
Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.
40 + 3.50x = 57.50
First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50
Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5
So, during that month, you purchased 5 movies.
Hope this helps! :)
