If a given series converges and each term is positive, then the square of the series also converges.

Q: 1 (-1)" Σ Vn 3 n=1

A: For the solution of the problem follow the next step.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: Above question is solved.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We need to find convergence of series.

Q: Find the positive values of p for which the series converges.

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Q: Determine if the series converges or diverges. If the series converges, find its sum. 8 Σ (4n –…

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Q: Find a value for the constant b that will make the radius of conver- gence of the power series In n…

A: We have given  series ∑n=2∞bnxnlnn Let ∑n=2∞anxn=∑n=2∞bnxnlnn Suppose the limit limn→∞an+1an is…

Q: (n!)2 (2n)! n=1

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Q: Determine whether the given series converges or diverges. If it converges, find its sum . Σ 9* +8*…

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Q: The exact value of the series is discovered by /-

A: Consider the series

Q: Determine if the series converges. If it does, what is the sum of the series 00 2" + 1 3n

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ k=1

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Q: 3. 5n3 +6 n=0

A: We have to find the given series which is convergent or not. ∑n=0∞3n3+7n5n3+6 It is known that if…

Q: `ne 'ne n=1

A: Solution: ∑n=1∞-1n+1ne-nSimplify∑n=1∞-1n-1ne-n

Q: Find a value for the constant b that will make the radius of conver- gence of the power series b'x"…

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Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

Q: Determine whether the series converges or diverges.

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: determine whether the series converges or diverges.

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Q: Determine whether the series converges, and if so find its sum 1 (k + 7)(k + 8) (Enter DNE if the…

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. Σ (-8)"-1 n=1

A: We have to find sum

Q: Determine if the series converges or diverges. If the series converges, find its sum. 7 (4n – 1)(4n…

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Q: 2k+4 k=1 7kー1

A: We determine whether the series converges, and if so find its sum

Q: Find out whether this series converges or diverges. 1 Σ n=1 3"-143

A: For a series ; if the limit : i) is less than one then the series converges ii) is greater than one…

Q: Given the series k=0 Does this series converge or diverge? O diverges converges If the series…

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: This is geometric Progression series for convergence check common ratio

Q: Determine whether the series converges, and if so find its sum. 4k+2 7k-1 k=1

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Q: Determine whether the series converges, and if so find its sum. Σ 4k+2 7k-1 k=1

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Q: Vn+ n=1 n+3

A: The given series is  ∑n=1∞1n+! - 1n+3this can be qritten as,∑n=1∞1n+! - ∑n=1∞1n+3   the convergence…

Q: Determine if the series converges. If it converges, find the sum: To 3n-1+2 2n=1 5n

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: sum of infinity terms of geometric series=first term1-common ratio

Q: 4k+4 k=1 7k-1

A: Given: The series ∑k=1∞4k+47k-1, To determine: The sum of the series if it is convergent.

Q: Find the values of x for which the series converges, then find the sum of the series for those…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: 2n² n2n n=1

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 8* +7 Σ *-1

A: Solve the following

Q: Determine if the series converges or diverges (2) La=2 ਪੰਜਾ

A: To determine whether the given series converges or diverges.∑n=2∞ 4n3

Q: 3. n²+3n

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Q: Determine if the series converges or diverges. If the series converges, find its sum. 1 1 Σ In+1 n+3…

A: Given: ∑n=1∞1n+1-1n+3 for evaluating given summation, we put values of n=1,2,3...............

Q: 2k+5 ニ k=1

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Q: determine if the series is convergent or divergent

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Q: Find out whether this series converges or diverges. 1 Σ 3n-1+3 n=1

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Q: Given the series 8 k=0 Does this series converge or diverge? O diverges converges If the series…

A: A detailed solution is given below.

Q: Determine if the series. HE 10 n² 4n+3 74 converges or diverges. If the series converges, give its…

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Q: n' 2" +1 n=2 on

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Q: Find all the values of a such that the given series would converge. (a- 7)"

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Q: Consider the series , ark1, a 0. Then if r < 1, the series converges to

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Q: Determine whether or not these series converge, and if they do then to what.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.