Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 + ... + 1/n + ... III. 1 - 1/3 + 1/3² + ... + (−1)n+1/3n-1 Pick ONE option O O III only O I and III I only + ...

Q: Investigate the convergence of the geometric series. 1+ q+q? + q³ + q* + q° + . . .+ q" + . .. Find…

A:

Q: Evaluate the infinite geometric series. 4 – 2+1-+.. 0 3 2/3 O 8/3 O no sum

A: Given, the infinite geometric series,4 - 2 + 1 - 12 + ................................∞a = 4, r =…

Q: Find the sum of the convergent series. 4 Σ n(n + 2) n = 1

A:

Q: (٪۳٦ * Stay Home خاص elearn.squ.edu.om Question 1 Incorrect P Flag question The sequence is n! n=1…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Select all that are arithmetic series. 4+8+12+16+..+200 50 E (2i+ 1) i= 2 23 Σ j = 1 109 E 3k k = 0

A: The given question is related with arithmetic series. We have to select all the arithmetic series…

Q: Find the sum of the infinite series. 1 + 18 · 29 1 1 + 29 · 40 1 +... 40 · 51 + 7. 18

A: We can solve as follow.

Q: a. In n In(n+1) {")-1} = {"}

A:

Q: Find the sum of the infinite geometric series. 1 1 1 1 + 1 + 2 1 1 + - + + - 4 - 00 - 2 4 8 + | co -…

A:

Q: n! 2.5.8...(3n+2) n=0

A:

Q: Find the sum of the infinite series. 1 1 1 1 + 41 · 54 +... 2· 15 15 · 28 28 · 41 (Use symbolic…

A:

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: Choose all that are geometric series. 109 E 3k k = 0 O 1000 x (1.2 + (1.2)² + (1.2)³ + (1.2)ª + ...…

A:

Q: Find the limit of the series (if exist) 1 -1 3/4 1/4 4/3 1/3 None WI

A:

Q: Decide whether the given series are convergent or divergent. Show all your steps. (-4)3n a) 2n+1 n=1

A: Since you have asked multiple questions in single request.so we will be  answering only first…