Question 18 (A) True B) False If the sequence {a}, is convergent, then the sequence {x} defined by = a₁ta₁+as+...+an-s+an. Xn is also convergent. 11

Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: The limit of the sequence a.- (1+ (a) - (3) e) (c)e None(e)

A: This is 1 to the power infinity form question so accoding to that I wrote the formula to Solve this…

Q: (6) Let {an} be the sequence defined by an+1 = √6an 2, a₁ = 1. Show that {an} is converger and find…

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Q: If the sequence {a}, is convergent, then the sequence {x} defined by a₁+as+as++an-stan is also…

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Q: 2. If a 1 and an+1 for each n> 1. Use the mathematical induction to show the sequence (an) is…

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: A True B False If the sequence {a}, is convergent, then the sequence {x} defined by…

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Q: (a) Suppose that (în) is a sequence of real numbers. Define what it means to say that the sequence…

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Q: Let {an} be a monotonic sequence of real numbers. If = a, and an+1 = a + which of the following is…

A: In the given question we have to find the limit of the sequence where is defined as…

Q: A sequence {an} is called monotonic, if it is neither increasing nor decreasing. Select one: O True…

A: False.

Q: What is the point of the formula n. 2k in Example 1 of Section 11? For example, what does ng 16…

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Q: f(n)=(n-1/2) (n-1/3) Its n-1 over 2 and n-2 over 3 Write the first six terms of the sequence…

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Q: A sequence {an}-1 satisfies a1 = 1, a2 = 1 and n=1 4 max {am-1, an-2} – min {an-1, an-2} An = for n…

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Q: २ Let (an) a sequence that satisfies a³ + 6 for n = 1, 2, ... Manti If a₁ = 2/1/2, show that and…

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Q: If lim an # 0, then the sequence {a,} is divergent. n+0 O True False

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Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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Q: 5) A sequence lan satisfies a= a = 1 and a, = a,n-1 an-2 +n (when n23). Find az020 %3D %3D (A) 2020…

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Q: The sequence (c} diverges.

A: To check whether the sequence diverges

Q: True or False: The generating function of the sequence h₁=n+1 is 1/(1-x)². O True False

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Q: Prove that a sequence {an} converges to 0 if and only if the sequence of absolute values 5 | an | 6…

A: We have to prove that, a sequence an converges to 0 if and only if the sequence of absolute values…

Q: Which function describes the arithmetic sequence shown? 7,9, 11, 13, 15, 17,.. ) A) f(x) = 2x - 5 B)…

A: Given an arithmetic sequence, 7,9,11,13,15,17,............

Q: If the sequence { 2-4 an an+2 } converges to 7, then the sequence {an} converges to 9. True or…

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