What is the equation used to find the nth term of the arithmetic sequence: -9, -4 1, 6, 11...
1 answer:
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For a better understanding of the solution given here please find the attached file which has the relevant diagram.
To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.
Please follow the diagram of a complete understanding of the logic and the solution.
As EF is the angle bisector as given in the question, thus we will have:
.
Also, from the Theorem we know that KF will be half of DK and thus, KF will be: centimeters.
Likewise, from the same theorem we have:
Given:
Consider the three number are given by:
To find:
The three numbers are the Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
We have,
Substituting 4 for x and 1 for y, we get
Similarly,
And,
The three three numbers are the Pythagorean triple are 8,15 and 17.
Therefore, the correct option is C.