Q4) which of the sequence below converge, and which diverge? 1- 5n • Un n4+ 8n3 • U, - In (" *!)". %3D In n • Un =

Q: _26. What is the 7th term of the geometric sequence whose 1st term is 4 and r = - 3? [A] 32/729 [B]…

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Q: 14, 21, 42, 77, ..

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Q: Question 002: Complete the following questions involving the creation of Sequences. Use the…

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Q: ow that an = 3· an-1+2. %3| 10 d En=o(an – an-1). (You don't have to compute 310 or 3º, ..., leave…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: an is an infinite Series with Partial Sum SN=7-2 Syppose that 16 and 5. an what are the values of S…

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Q: 2k 8∞ Ek=072k) ! Lk%3D

A: Let us consider the function f(x)=ex The expansion of the exponential function is…

Q: 13 57 6'10'14 18" 2n-1 1) The arithmetice sequence ,then a, 2(2n+1) true false

A: We have given the arithmetic sequence.  We have to find the nth term of the arithmetic sequence

Q: the smallest of the terms of the 2 sequence = n - gn-100 when iz is valuable n

A: The given sequence is,Xn=n2-9n-100

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

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Q: 4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

Q: Consider the sequence 4, 8, 16, 32, ... Give a closed formula for the nth term of the sequence (in…

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Q: 14. If a sequence is defined by a, = n² +9n , a) find the sixth term, a̟. b) find the sixth partial…

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Q: The first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

Q: 1.) а, — п— 1 %3D n - 2.) аn 1 п+1 4n 3.) аn n+2 4.) аn 3" 5.) а, — 5" — 6 an

A: Recurrence relations are given. One can easily form a sequence from these relations. The problem is…

Q: 3n-1-12 15. What is the sum of the series E, +00 Zn=1 6n-1 5 A. D. 5 C. B.

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Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: Find 60 term of an A.P series 12,16,20..

A: The objective is to find  60 term of an A.P series 12,16,20..

Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…

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Q: 10. Which set is an example of a harmonic sequence? 1 1 1 1 a. 2 57 2 1 1 1 1 b. 2'4'6'8 1345 С. 2'2…

A: Topic = Sequence Correct option = b

Q: The series 2(- 1)"+1 converges n = 1 Select one: True

A: The given series is ∑n=1∞-1n+1

Q: Which one of the following sequences does diverge to infinity? Oa. an Inn O b. an In 2n OC. 2n O d.…

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Q: A sequence is said to be decreasing sequence if

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Q: Evaluate th e relate series of each sequence. 1) -7,-5,-3,-1,1,3

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Q: What is the associated series of the first five terms in a sequence formed by {3n -2}? O 35 O 28 30…

A: the sequence formed by {3n-2}

Q: Which of the following sequence is divergent? {=} en n (-1)"+1 n n? l n +1] {-3}

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Q: Which one of the following sequences does diverge to infinity? O a. 4n= (-1)"(1-) Inn O b. an In 2n…

A: We have to check

Q: Which one of the following sequences converges? 4n OA In (9n) OB. Oc (-1)"2 4" OD.(-1)"- 4n +9 OE…

A: Answer is mentioned below

Q: Write down the first five terms of the sequence an = 1 = 2 = 03 = 04 = 05 = (n + 5)! 7n²+6n +6

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Q: Find the recursive formula of the following sequence. (4, 10, 18, 28,...} O a a₁ = 4, an = an-1 +…

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Q: Find the sum of each series

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Q: 4 9 16 25 1. Find the formula for an for the sequence Q ·}, assuming that the first term is 4'8'…

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Q: Let 3n! an = Cn-1)! Compute the sum of the first 5 tems in the sequence an . That B, compute :E an.

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