I'm going to assume you meant to write fractions (because if are all non-negative integers, the series would clearly diverge), so that
and so on.
a. If the pattern continues as above, we would have the general term
b. Note that we can write as
The series diverges by comparison to the divergent series
Answer:
<h2>The reliability is 0.999999.</h2>Step-by-step explanation:
The failure rate for a guided missile control system is 1 in 1,000.
Hence, the probability that the missile will not fail is .
According to the new system, if the first fails, the second can take over.
There are two possibilities, either the first one will be fail or not.
If the first one will not fail, then the probability will be = 0.999.
If the first one will fail, then the probability will be .
The reliability of the modified missile is 0.999 + 0.000999 = 0.999999.
Answer:
∠A = 26°
Explanation:
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.
Angle ∠C = 76
So, ∠T = 76 because of corresponding angle.
Given that,
m∠S=3(m∠A)
We know that,
∠S ≅ ∠B
That means ∠B = 3 (∠A)
Sum of angles in a triangle = 180°
∠A + ∠B + ∠C = 180°
∠A + 3∠A + 76° = 180°
4∠A = 180° - 76°
4∠A = 104°
∠A =
∠A = 26°
Final answer.
