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Dimitrus returned 5 library books last week, returned 3 books this week,and then checked out 8 more books.He now has 12 library
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Answer:
A regional soccer tournament has 64 participating teams.
In the first round of the tournament, 32 games are played.
In each successive round, the number of games played decreases by 1/2.
Part A:
We know;
So, we get;
The rule for the number of games played in the nth round is given by:
where
Part B:
As in each successive round the rounds are decreasing by 1/2 we have.
round 1 = 32
round 2 = 16
round 3 = 8
round 4 = 4
round 5 = 2
round 6 = 1
So, the total number of games played in the regional soccer tournament are:
Answer:
-∞ ; x = 3
Step-by-step explanation:
The graph tends toward -∞ as x approaches 3 from the left. Thus there is a vertical asymptote at x=3, the value of x that makes the denominator zero.
a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:
b.
The recursive rule can be found with the formula:
Where an is the nth term and q is the ratio. So we have:
c.
The explicit rule can be written as:
Where an is the nth term, a1 is the first term and q is the ratio. So: