Find the series in which5th term is 22/16 and 4th term is -4
1 answer:
Answer:
The series is given as follows;
Step-by-step explanation:
Assuming the series is an arithmetic progression, (AP), series, we have
The nth term of the desired series = a + (n - 1)×d
Where;
a = The first term
n = The position of the term in the series
d = The common difference
Given that the 5th term = 22/16 and the 4th term = -4, we have;
d = The difference between consecutive terms = Difference between the 5th term and the 4th term
∴ d = 22/16 - (-4) = 43/8 = 5.375
22/16 = a + (5 - 1)×5.375
∴ a = 22/16 - 4×5.375 = -20.625
The series is therefore;
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Answer: Option C. Ellipse
Step-by-step explanation:
The general equation of an ellipse has the following form:
Where the point (h, k) is the center of the ellipse
In this case we have the equation
Note that its shape matches that of a ellipse with center (9, -2)
Therefore the answer is the obtion C