Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8. 11.(3n+2) ......

Q: What is the sum of the series corresponding to sequence: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9,…

A: We have to find sum of the series:

Q: What test is advisable if a series involves a factorial term?

A: Let the series involves a fractional term ,

Q: 5. Consider the geometric series (3x )" , determine for what values of x does the series n=0…

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Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: X6. Use the geometric series to evaluate each of the following sums. a) 1+ 1.5 + 2.25 + ..+ (1.5)10…

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Q: Find the first term of the series whose second and subsequent terms are, 8, 3, 0,-1, 0, ...

A: Given, the series whose second and subsequent terms are                         8, 3, 0, -1, 0, . .…

Q: Find the 81st term in the series defined by Sn= (n-3)²+ (n-5)²+ (n-7)² +(n-9)² +..

A: For this series, 1st term = (n-3)2 2nd term = (n-5)2 So like this nth term = [n-(2p+1)]2 So from…

Q: If it is known that limk00 ak = 0 , that is the kth term of a series goes to zero as k goes to…

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Q: 3) For the geometric series 4 + 16x - 4 + 64x2 -16+ ... Find the range of values of x for which the…

A: We have to find the range of 'x' for whichGeometric series 4+(16x-4)+(64x2-16)+··········· converges

Q: Express the repeating decimar o. abcabcabc... as a geometric series, and find the value of this…

A: Express the repeating decimal 0.abcabcabc... as a geometric series, and find the value of this…

Q: 13) & 3{3} 1=1 ה DELL

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Q: Astudent argues that (-1)" /n is an alternating series and therefore converges. Is the student…

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Q: Identify the interval on which the series is valid.

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Q: How would you find the sum of this series?  10/3 + 5/3 + 5/6 + 5/12 + 5/24 + 5/48 + 5/96+...

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Q: Which of the series plotted in Figure 1 are stationary (if any)? Explain your answers 200 - 150 - x…

A: For an assumed time series, the condition of stationary may be inferred to have been met, if the…

Q: What is the sum of the series below if x = 0.2. 1+ 4x + 16x2 + 64x3 + ...

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Q: しイ is it converyes k=) 3k and diverges what's the Sum of series ?

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Q: (-1)" Determine the exact value of the sum of the series ; (2n + 1)3n

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