Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n?
2 answers:
Answer:
The domain for n is:
All integers where n ≥ 1
Step-by-step explanation:
We are given a geometric sequence where the first term of the sequence is:
and the common ratio(r) is −1.
We are asked to find the domain for n.
We know that the domain of the geometric sequence whose terms are given by are all the natural numbers since by putting the n we get the corresponding term.
Hence, the domain is:
All integers where n ≥ 1
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Given:
Measure of arc UV is 56 degrees.
The measure of arc QW is 132 degrees.
To find:
The measure of angle VPW.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
Substituting the given values, we get
Now,
[Linear pair]
Therefore, the measure of angle VPW is .