Decide whether the following converges or diverges. If it converges, find the limit of the sequence: 4n+3 a) Un= 2n-1 n2+ 4n +1 b) Un 2n2 + 3 6n-1 c) Un= 5n+2

Q: Determine the limit of the following sequence. 9n+7 8n+5 an = lim an= 840

A:

Q: 8n2 + 1n + 1 an 7n2 + 9n + 9

A:

Q: Consider the sequence where a1 = 2 and a2 = 8, a2n+1= ½(a2n+ a2n-1) and a2n+2 =(a2n * a2n-1) / a2n+1…

A: Let firstly calculate few value of teh sequence a1=2a2=8 Put n=1,2,3,4,5 ........ in…

Q: Find the conditions necessary for this sequence to be Cauchy. Хп xn+1 = axn+b 1 + xn

A: For the sequence (Xn)(Xn​) defined by the recurrence relation to be Cauchy, the condition necessary…

Q: Find the limit of the sequence: 5n2 + 6n + 7 an 8n2 + 9n + 8

A:

Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.