Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
1 answer:
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
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Answer:
(D) 30 degrees
Step-by-step explanation:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.
<u>Theorem(Inscribed Angles Conjecture I): </u>In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
By the theorem above and from the attached diagram,
Inscribed Angle p =Half of 60 degrees
<u>The correct option is D.</u>
