<u>Given</u>:
The given expression to find the nth term of the sequence is 
The first term of the sequence is 
We need to determine the third term of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;
Thus, the second term of the sequence is -40.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;
Thus, the third term of the sequence is 120.
(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
<h3>What is a factor of a polynomial?</h3>
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
learn more about factor of a polynomial here :
brainly.com/question/26354419
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Answer:
Step-by-step explanation:
Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is
The answer to this question is B
Since 1 foot = 12 inches,
5 feet x 12 inches = 60 inches
Jason would be 60 inches + 11 inches tall which would = 71 inches.
71 inches is greater than 63 inches.
And 71 in -63 in= 8 in.
Therefore, Jason is taller by 8 inches
