1, 3 8 15 24 ..) 4'9' 16' 25'**

Q: 4 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence…

A: A sequence is said to be decreasing and bounded if an>an+1.

Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: ´n – n! n=2 8

A: If a sequence is either always increasing or always decreasing then it is said to be a monotonic…

Q: Decide if each sequence is arithmetic, geometric, or neither. [ Select] Sequence 1: 81, 27, 9, 3, ..…

A: 1. 81,27,9,3 common ration  r=2781=927=39r=13   as there is common ratio  Given series is Geometric…

Q: 30. аn e4n/(3n+9)

A:

Q: an= 2 +

A:

Q: Which of the following is the rule for the sequence 6, -6, 6, -6…

A: Given data: The given sequence is 6, -6, 6, -6..... The standard expression for the sequence is, a1,…

Q: 1 :1+ 2/2' 3/3 1 1 (b) an %3D ..

A:

Q: ... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x…

A: Given query is to find the correct option to prove the identity.

Q: (ii) If (sn) is an unbounded decreasing sequence, then lim så -∞

A: Given that {sn} is an unbounded decreasing sequence. To show :- limn→∞sn=-∞

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

A:

Q: 1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that…

A: (1) we need to prove by definition that the sequence {1/√n} is convergent and find the limit of the…

Q: 23+13 23+1 :

A:

Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly…

A:

Q: 10 13 4, 10 ' 3 4) 5.

A: Basically, there are two rules that are the rule of addition or subtraction and the rule of…

Q: Find a convergent subsequence of the sequence { (-₁ (₁-4). -1)"

A: Let xn=(-1)n(1-1n). Then x2n=(-1)2n(1-12n)=1-12n.