Over the weekend, Mr. James corrected 5 out of 8 of his homework assignments, Miss Smith corrected 61% of her homework assignmen
2 answers:
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We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: , where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Considering it's volume of 113 cm³, the approximate radius of the sphere is given by:
A. 3 cm
<h3>What is the volume of an sphere?</h3>
The volume of an sphere of radius r is given by:
In this problem, we have that V = 113 cm³, hence the radius in cm is given as follows:
r = 3 cm.
Hence option A is correct.
More can be learned about the volume of an sphere at brainly.com/question/25608353
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