There are two unit rates for every rate, true or false?
1 answer:
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Given:
The geometric sequence is:
1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and .
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:
Putting in (i), we get
where
Therefore, the correct option is B.
That's vertex form for a parabola and we read off vertex (p,q) as
Answer: Vertex (5,7)
The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual . I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.
Answer: downward