Defermine if these sequences are convergent or divergent. If convergent, give the limit. 1 1 1 а. 2'3'4'" n b. 1,8, 27, 64, 1 2 3 C. ...... 2' 3'4' 1 1 d. 1. n+1 1 ...... 2n-1

Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n

A: Option (d) is correct.

Q: Find the limit of the following sequence. 12 27 16' 25 48

A:

Q: A sequence s, is said to be bounded above if there is some number N such that ..... .a Sn =N .b S,SN…

A: Option (b) true because

Q: Find the geometric and term of as=314 the sequence given CaS -3/32

A: We can find the answer as below.

Q: Find the first three terms of the sequences whose n th term is given. S n n = ( − 1) ¹ + 9

A: The given sequence Sn=-1n+9 We have to find first three terms of the sequence.

Q: 10. Let an be a sequence of reals, and be a real. Let bn = lan-ll. Show that an converges to & if…

A: Given a sequence of real numbers an and l is a real number, given bn=an-l.   If a sequence xn…

Q: Directions: Find the next three terms and then write the explicit form of the given sequence below.…

A:

Q: Determine which of the items is true. a. The sequence {3¯"}is increasing and bounded. b. The…

A:

Q: 5. (a) Give an example of a function f: R→ R that is discontinuous at 1,..., but is continuous at…

A: A function can be discontinuous at a single point, more than one point or infinite points. If a…

Q: Find the limit of the fallowing sequence if it exists 92 = 12-2, an =/2-/2+12+2+..+2 ' n eN

A: Explained below

Q: The limit of the sequence {an}{an}as nnapproaches infinity equals ll iff ∀ε>0 ∃ m ϵ N ∀?>0 ∃ ? ? ℕ…

A: Given that, The limit of the sequence {an} as n approaches infinity equals l. Definition of the…

Q: Find the first five terms and the Sn of each of the defined sequence. 1. 3n+1 3. n2 +5n +6 mot 3-2n…

A: Since you only ask questions 2,3&4 so not answer question 1 Given Sn of the each the defined…

Q: o i ż 3 18 9 20 21 22 23 24 25 What is the relationship between corresponding terms in the two…

A: Which is Perfect Positive Correlation between Sequence 1 and Sequence 2

Q: A sequence is said to be decreasing sequence if Vn 2 1 =DS n+1 aO .b O n+1 n+12s.cO 2n.d O n+1

A: Option (b) is correct.

Q: A) an = 2n+1 B) an = 5n+8n 7n

A:

Q: Find the limit of the sequence whose terms are given by

A:

Q: Find the first three terms of the sequences whose n th term is given. S n = A B C E (- S 1 S 1) ¹ +…

A:

Q: Help with this one please

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Q: A. If the 2nd term of a geometric progression is 8 and the 5th term is 64, then find the 8th term of…

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Q: п+1 2n +1 dn + Vn² · 6n+1. 2n ||

A: Note some standard results of limit: limn→∞ 1+1nn=e limn→∞ n1n=1 Suppose xn and yn are two…