Consider sequences n+1 (i) n+2 (ii) tan 2n (ii) n+ ( – 1)". Which of the above sequences are monotonic: A. (ii) and (iii). O B. (i) and (ii). O c. (ii) only. D (i) (ii) and (iii).

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: 3. Write the following terms in summation notation. a. 1+3+5+7 + 9 + ... b. 7+ 13 + 19 + 25 +31 + ..

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Q: verify (1-1) and that (1-1)(1)- a. Verify

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Q: How can I do

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Q: Consider the following sequences n In (1 + n) (ii) e"/ (n²+1); (iii) √√√n²+2n -n. Which of the above…

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Q: 5. a. Find the binomial generating function for the sequence a = 1, 3,9, .....,r + 1, .. b Given the…

A: Sequences: Sequence is a list of numbers or objects that placed at a special order. Relations: A…

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A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: Consider the following sequences n (i) In (1 + n) (ii) e"/ (n²+1), (iii) √√n²+2n -n. Which of the…

A: Let {an} be a sequence of real numbers If an≤an+1 ∀ n∈N then the sequence an is called monotonically…

Q: n? - n 5" n=1

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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: n (n + () A k=0 | B, = 0.

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Q: o (n) t (n), for n= 4568 68662 68660 68640 68642

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Q: 2. Consider the following sequence of equations involving Fibonacci numbers: 1+2=3 1+2+5=8 1+2+5+ 13…

A: Solution:

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: 7 n2+ 3 n+ 2 lim 7 9 n2+ 2 18 n- 00 Select one: O True O False

A: limn→∞7n2+3n+29n2+2

Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: Which of the following is the sum of the series 00 3 3 (n+1)2 n-1 Select one: O A. 3/4 O B. 1/3 O…

A: Given series, ∑n=1∞3n2-3n+12

Q: its xn-yn instead of xn+yn

A:

Q: n(n+1) for all n EN, • Given that 1+ 2 +3+..+n = the sum 70 + 71+72 + .+ 100 = 2

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Q: Which of the following represents the general term of the sequence 6 12 3 5' 2 20 30 42 56 1' 7 9'…

A: To find Which of the given represents the general term of the given sequence.

Q: -3an The solution of the recursion relation ant1= n > 0, with ao = 1, (n+1)? " is an O None of these…

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Q: 1 If the N(A) consists of all multiples of x = , then the rank of A 4 is: а. 3 O b. 2 O C. 4 O d. 1…

A: It is clear that from N(A)

Q: 3. WRite 6+11+16+21 +26731+36+41 in summation notation. @M (SK+1) O (K+) (SK+6)D (K+5) E None of…

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Q: (d) Two sequences (ao, a₁, ao = 1, bo ..,an,...) and (bo, b₁, ... , bn, ...) are defined by: { an +…

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Q: Consider the following sequences n In (1 + n) (ii) e²/(n²+1), (iii) √√n²+2n -n. Which of the above…

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Q: (c) Evaluate 3" + 27+1 5n n=1

A: To evaluate: The summation of : Formula used: The sum of infinite terms of the geometric series…

Q: 3. Cookies have to be in the oven between 8 and 12 minutes and brownies have to be in the oven…

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Q: The integers from 1 to 7 are written in order clockwise around a circle. I start with a counter on…

A: State SpaceTransition Probabilities

Q: Refer to the following sequences in R: 37 8 (an) == 0,70 ... (bn) := 2√6,6√2,6√/6, 18√2, 18√6,…

A: Note: Two sets are equinumerous iff there is a bijective map between two sets.