Calculate the sum of the infinite series
1 answer:
Answer:
.
Step-by-step explanation:
The given infinite series is .
The first term of this series is .
The common ratio is .
.
The sum of this infinite series is given by the formula,
We now substitute all the above values in to this formula obtain,
This implies that,
This simplifies to,
.
The correct answer is C.
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Using proportions, it is found that the amount of the novel she would have read is:
D. 14/15.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
She has finished 5/6 of the novel, and will have read more 1/10 in the next two days, hence the total amount read is given by:
Hence option D is correct.
More can be learned about proportions at brainly.com/question/24372153
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By factor theorem (v+5) is not a factor of the given polynomial f(v).
What does factor theorem mean?
When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.
The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.
The factor theorem states that
f(x) has a factor (x-k) if and only if f(k) = 0
We are given the following information.
F(v) = v 4 + 16v 3 + 8v 2 - 725
We have to check whether (v+5) is a factor of given polynomial.
( v + 5 ) = ( v - ( - 5 )
f( -5 ) =
= - 1900
f(-5) ≠ 0
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