What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?
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Answer:
<h2>A. The series CONVERGES</h2>Step-by-step explanation:
If is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.
If < 1, the series converges absolutely
If , the series diverges
If , the test fails.
Given the series
To test for convergence or divergence using ratio test, we will use the condition above.
aₙ₊₁/aₙ =
note that any constant dividing infinity is equal to zero
Since The limit of the sequence given is less than 1, hence the series converges.
Then