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  3. question 1 - infinite sequences. (a). determine a

Question 1 - Infinite Sequences. (a). Determine an infinite sequence that satisfies the following . . . (i)...

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Advance Math

Question 1 - Infinite Sequences.


(a). Determine an infinite sequence that satisfies the following .. .

(i) An infinite sequence that is bounded below, decreasing, andconvergent

(ii) An infinite sequence that is bounded above anddivergent

(iii) An infinite sequence that is monotonic and converges to 1as n ? ?

(iv) An infinite sequence that is neither increasing nordecreasing and converges to 0 as n ? ?

(b). Given the recurrence relation an = an?1 + n for n ? 2 wherea1 = 1, find a explicit formula for an and determine whether thesequence converges or diverges

(c). Find a explicit formula for an given that {an}? n=1generates the infinite sequence 1, ? 1 9 , 1 25 , ? 1 49 , . . .Does the above infinite sequence converge or divergence?

Answer & Explanation Solved by verified expert
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In the most basic terms a sequence which is a list of numbersis said to be infinite if it can be mapped    See Answer
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