11. Consider the sequence of sums 1, 1 + 2, 1 + 2 + 3, 1+2+3+4,1+2+3+4+5, .. (a) What happens to the terms of this sequence of sums as k gets larger and larger? (b) Find a sufficiently large value of k that will guarantee that every term past the kth term of this sequence of sums is greater than 1000.

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A: We are asked to find which is correct for the sequence.

Q: (b) Compute the following sums using formulas from class. Do not try to compute something like 224.…

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Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

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Q: Find the sequence of partial sums S1, S2, S3, S4, and S5.

A: Given :                  1 + 1/2 + 1/4 + 1/6 + 1/8 + 1/10 To find :                 The sequence…

Q: -) Determine the first six terms of the sequence defined by t₁ = -5 and t = 3t-1 + 8. 5, 23, -61,…

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Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

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Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: Compute the following (finite or infinite) sums. (a) 17 + 20 + 23 + 26 + ... + 200 (b) 2+2(1.1) +…

A: The objective is to compute the above sums.

Q: 2. Find the closed form for the generation function for the sequences (i) 2, -2, 2, -2, 2, -2, - - -…

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Q: 35 (b) (5+7k) = k=D1

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Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.

A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…

Q: The Fibonacci numbers are a sequence numbers defined by F₁ = 1, F₂ = 1, and Fn = Fn-1 + Fn-2 for n ≥…

A: Since, the Fibonacci number is defined as F1=1,F2=1 and…

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 = 0). (a) Guess a formula for…

A: The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, ………

Q: (nt) n=1

A: we have to find the sum

Q: 3. Express the following sequence in the form {a,} Term of Sequence 3,5,7.. Formula Notation a, =…

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Q: The partial sum 1 + 5 +9 +..+ 93 equals Ouesti

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Q: 6. Consider the sequence defined by the recursive formula an = 10 - a,-1 with ao = 2 (a) What are…

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Q: Prove { (8n-7)/n} n=1 to infinity is an increasing sequence.

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Q: The sequence {an} defined by an = (-1)+2 for every integer n ≥ 0 is a solution to the recursive…

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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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