? ? ? Determine whether the following series converge or diverge. Answer "Converges" or "Diverges (1/1 1 n+4 n - 1. n 1 3. 00 4 3 -² (¹) 2. + 7-1 5 Σ (n(n² + 5) n=1 (-5)") 4

Q: 6. Tell whether the series whose nth term is given below converges absolutely, condition- ally, or…

A: Please post the multiple parts separately. Here I answered 1st question as per our policy.

Q: 9 E-2 ·(-2)"-1 n=1

A: ∑n=19-2·-2n-1

Q: Identify the two series that are the same. (0) Š)" 4 Σ n = 5 4 (b) (n + 1) n = 0 00 n- 1 (c) Σ n = 1…

A: Put the values of n and find series.

Q: (2 2 First find the sum of this Series: (-1)"b)" the valnes of x for which the given series…

A: ∑n=1∞-1n x-1n3n=∑n=1∞-1nx-13n=∑n=1∞13-x3nFirst term (a) =13-x3,  common ratio (d)=13-x3Sum of the…

Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A: When the sign of each term of a series changes in an alternating way, the series is called…

Q: Σ(;). Since the series can be rewritten in the form 4 a = r= it is a geometric series with:

A:

Q: Which infinite geometric series diverges?   S=262+301.3+346.5+... S=6,651+729+81+...…

A: Infinite series.

Q: Choose any that is an arithmetic series. 4+8+12+16+...+200 50 Σ(1-2) j=5 45 Σ(12 + 3) j=1 45 Σ 3* K…

A: Here we have to choose the arithmetic series. A series is said to be arithmetic series if difference…

Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (-27) + (–32) +...…

A: For a arithmatic sequence with first term =a, common difference=dthen sum of  first n terms of the…

Q: n3 +2 1. (15 p) Determine if the series converges or diverges. n5 +3 n=1 Give reason for your…

A:

Q: an+1 If lim then the series > an an n=15 may or may not converge. Not enough information. converges…

A:

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

A:

Q: 1. Determine whether the sequence converges or diverges. "El

A: For a sequence ( an ) by perfoming ratio test limn→∞| an+1an | = r if r is definite number then…

Q: Determine the convergence or divergence of the series.

A: The given series is:∑n=1∞12ln n. We have to determine whether the series is convergent or divergent.