I don’t know
Wow,that’s a tough one
Pythagorean theorem should be used to determine the length of any of the three sides of a right-angled triangle.
<h3>What is Pythagorean Theorem?</h3>
Pythagorean theorem can be defined as a fundamental mathematical equation in Euclidean geometry and it can be used to determine the length of any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
c² = a² + b²
<u>Where:</u>
<u>For example:</u>
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 units.
Read more on Pythagorean Theorem here: brainly.com/question/16176867
The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
<h3>What are the rules for Ratio Test for Convergence?</h3>
The rules are:
- If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
- The test is inconclusive if the limit is equal to 1.
- The series is divergent if the limit is greater than 1.
Using this knowledge, we are able to state that
- A is not conclusive.
- C's convergence is absolute.
- There is divergence with D and E.
- B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.
The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
Please see the attached for the full question and the link below for more about Ratio Test for Convergence:
brainly.com/question/16618162
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According to Hooke's law, a 30-N force stretches a spring by 0.73 m if the spring constant k is such that
30 N = k (0.73 m)
k = (30 N) / (0.73 m)
k ≈ 4.1 N/m