(a) Show that if n€ N, then

Q: 4. for the recursivley defined sequence: Σα Find Ea; an=3an-1-2n for n22

A: The expression ∑i=14ai can be expanded as follows. ∑i=14ai=a1+a2+a3+a4   It is provided that a1=4 .…

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

A:

Q: 14. If he would like to have P500,000 in the future, how long will it take him to save with the same…

A: It seems that information regarding initial investment amount and interest rate is missing. As these…

Q: (g) The nth term is 2llog n]. (h) The nth term is [. 3

A:

Q: Find the limit of the sequence, or show why it doesn't exist, an = n4-(n8-n5)1/2.

A: Given,  Sequence                     an = n4-(n8-n5)1/2

Q: Write the first four terms of the of the sequence tn 2tn-1 + 4 where t₁ = 5 P

A:

Q: 2. Give an example of an unbounded sequence {an} of negative terms such that an does not diverge to…

A:

Q: 5. Use polynomial fitting to find a closed formula for the sequence (ªn)n € N₁: 1,3, 11, 31, 69, ...

A:

Q: Write down the first five terms of the sequence an a₁ = 92 = a3 = 04 = a5 = (n+2)! 2n

A: The given sequence is; an=(n+2)!/2nFind next five terms.

Q: Find x for which log 2, log (2" – 1), and log (2" +3) are three consecutive terms of the arithmetic…

A: If log2, log2x-1 and log2x+3 are three consecutive terms of of arithmetic sequence, then,…

Q: (a) Show that if n € N, then <+¹¹dx.

A: "Since you have asked multiple questions, we will answer the first question for you. If you want any…

Q: Use iteration to guess an explicit formula for the = 2dr-1 + 3, for each integer k > 2 if d = 2…

A:

Q: (2) Let an be the sequence defined by: a₁ = 1 a2 = 2 an = an-1 + 2an-2 for n ≥ 3.

A:

Q: Give the first six terms of the following sequences. You can assume that the start with an index of…

A: Increasing sequence : If an is any sequence and an≤an+1 for all n .Then an is called to be…

Q: » calculate: The limit of the sequence a, = 2n n+1

A:

Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.