Consider the series 14+32+114+4+214+.... Does the series converge or diverge? Select answers from the drop-down menus to correctly complete the statements.

Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: Compute the sum 42 + 47 + 52 + . . . + 662

A: 42+47+52+⋯+662Given series is arithmetic sequence a1=42a2=47a3=52d=a2-a1=47-42=5

Q: What is the value of c in the geometric series 24 + b +c +d+ e +f+. .. if the sum of the series is…

A:

Q: soblem : A system has 5 identical components connected in series. If it is desired n have a system…

A:

Q: Consider sum 1+5+9+13+...+81 what is a6

A:

Q: Find the sum of the series -1 -1 -1+ 4 +...+ 16 ++ 4-1

A:

Q: Find all sequences which are simultaneously A.P. and G.P.

A: Given data is: Find all sequences which are simultaneously A.P and G.P

Q: Find the indicated unknown for each sequence or series. a) Given the 1st term and the last term, a1…

A: a. givena1=-11a85=493this is a arithmatic progression where we have to calculate dformula of nth…

Q: For the series 3 + 6 + 12 + 24 +…, S11

A: Let us consider the geometric sequence  a,ar,ar2,....... n terms  where a is first term and r is…

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49…

A: To find the sum of the geometric series.

Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts,…

A: We find First difference, Second difference ,.... upto we get constant difference. From the step…

Q: 35 + 36 + 37 + 38 + ... + 101 + 102

A:

Q: If given a sequence of five consecutive integers (e.g. 1,2,3,4,5), then the sum of these integers is…

A:

Q: nd the sum of the sequence  43+44+45+46+...+122 the sum is...

A:

Q: Use polynomial fitting to find the forumla for the nth term of the sequence (an) n>and equal to 0…

A:

Q: Consider the series: - - - ... 32 33 34 35

A:

Q: Briefly describe the difference between a sequence and a series.

A: Let us find out how a sequence can be differentiated from series.