1. Determine whether the following sequence converges or diverges. If the sequence converges, find its limits. 64 256 (a) 16, 2 6 S(-1)"n] (b) Зп — 1 n = 1, 2, 3, ...

Q: Find the explicit formula of the following sequence. 8 (72, 24, 8, 3, ...} O a O b Oc - Od ƒ(n) = a₁…

A: Given sequence is 72, 24, 8, 83, ...

Q: Write the first four terms of the sequence whose general term is given below. (- 1)" an = 4n + 1 a,…

A: Given data:

Q: 14. A basketball tossed vertically upwards reaches a maximum height and then falls to the floor.…

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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: 1. Prove that the sequence {4+} converges to 4.

A: To know weather two function converge or not take difference of them and put limit to infinite. If…

Q: Find the nth term of the given sequence, where n= 1,2,3... 1/5, 4/9, 9/13, 16/17...

A: The given sequence is 15, 49, 913, 1617,⋯ Here numerators of the fractions are 1, 4, 9, 16 which are…

Q: 2. REINFORCE F HOME a. f(1) = 6 f(n) = f(n for intege Co

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Q: 20

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Q: Let an be a sequence defined by a1 = 0 and a2 = 1 and for n > 3 an = (n – 1)(an-1+an-2). %3D

A: Here, the terms given in the series are, a1=0,a2=1an=n-1an-1+an-2 Calculate the third, forth and…

Q: 3. Consider the sequence defined recursively by 3 90+1=1 (0+²) an+1 (an an 2 an (a) Write the terms…

A: In this question, we will find the first six terms of the sequence and the limit of the sequence.

Q: Consider the sequence {10, -2, ) Find a formula for the general term an of the sequence, assuming…

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