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according to the equation it is a hyperbola.
The graph of this function is attached.
according to the equation it is a hyperbola.
The graph of this function is attached.
Your favorite football team has three games left to finish the season. the outcome of each game can be win, lose or tie. the num
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The first term is 612.
The common ratio is 1.08 and
The recursive rule is
<u>Step-by-step explanation:</u>
the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.
<u>The first term :</u>
In geometric sequence, the first term is given as .
⇒
Now, the geometric sequence follows as 612, 661, ........
<u>The common ratio (r) :</u>
It is the ratio between two consecutive numbers in the sequence.
Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.
⇒ r = 661 divided by 612
⇒ r = 1.08
<u>To find the recursive rule :</u>
A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........
Here, first term and other terms are obtained by multiplying by r.
- Observe that each term is r times the previous term.
- Hence to get nth term we multiply (n−1)th term by r .
The recursive rule is of the form
This is called recursive formula for geometric sequence.
We know that r = 1.08 and = 612.
To find the second term , use the recursive rule
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