115 Answered Questions for the topic Series
Find the sum of the infinite series below.
1/3*7 + 1/7*11 + 1/11*15 + 1/15*19 ...
03/08/19
if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.
if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.I really have no idea.
Series Root Test
11/30/18
Determine the convergence of the series from n=4 to ∞ of [1+(1/n)]^-n^2
We need to use the root test to answer this question.
10/14/18
mystery function
How does one find an equation for data given a set of ordered pairs (the function is not linear)?My series begins: (1,1), (2,5), (3,14), (4, 30), (5, 55), (6,91). I am curious about the answer but...
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Series Sequence
06/25/18
If the first term of an infinite geometric series is equal to twice of the sum of all the terms that follows it, then the value of r is?
1/3, 1, 1/2 or 2? how?
Series Sequence
06/25/18
If a4= 4 of an AP then find the sum of first 7 terms of the corresponding arithmetic series
If im given with the 4th value and the total terms how do I solve without a1 or an and d
Limits of sequences and series
How do I go about proving limits for given sequences and series, for example how would i prove that the limit when x tends to infinity of n^(1/n)=1?
I'm having trouble with series.
Let f(x)= ∑∞n=0 (x^n)/(n!)
Find f(0)= 1
f(1)= e
f'(x)= f(x)
f''(x)= f(x)
Not exactly sure how we're supposed to go about finding those answers, or how to start.
Series
12/09/17
in a given numbers series 01 to 49, how many series of 6 numbers can be formed???with illustrations
Given numbers 01 to 49, make unique series of 6 numbers....I e if we select 5,11,19,22,31,49/1,9,16,29,33,44 then they shd be found there.....
11/28/17
How would I define a bounded series?
Please note that I am talking about a series and NOT a sequence
Series
11/18/17
When N=2800 as input... Print 1,4,49,121,169,361,529,841,1329,1681,1849 and count the numbers which have digit 9 and print the count.
I couldn't figure out how to do this :/
Determine whether the sequence converges or diverges. If it converges find the limit.
an=e(-1/sqrt(n))
Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex
{n2e-n}
Limit converges to 0? How?
Series Calculus 2
04/11/17
Find all the values of x such that the given series would converge.
∞∑n=1 (x−4)^n /n^n
04/04/17
Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
A. summation of negative forty five times n from n equals zero to fifteenB. summation of the quantity negative nine plus five n from n equals zero to fifteenC. summation of the quantity negative...
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2!/7 + 3!/14 + 4!/21 + ... + (n+1)!/7n
Express the sum using summation notation. Thank you.
11/04/16
PLEASE HELP with SEQUENCES!! Determine whether the sequence is increasing, decreasing, or not monotonic.
Determine whether the sequence is increasing, decreasing, or not monotonic.
an = 4n(−7)n
Is the sequence bounded? Yes or No? Explain.
11/04/16
Determine whether the sequence is increasing, decreasing, or not monotonic.
Determine whether the sequence is increasing, decreasing, or not monotonic.
an = 1/(6n+7)
Is the sequence bounded? Yes or No? Explain.
sum to infinity
A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls andbounces. After each bounce it rises vertically to 2/3 the height from which it fell.
(i) Find...
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06/27/16
geometric series
The first 3 terms of a geometric expression are x, 10 − x ,and 2x + 1 where x > 0.Find the value of the common ratio, r.
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