for the given 1,2,3 find the recurrences - the closed-form expression for n. 1) S(0) = 6 for n = 0 S(n) = S(n-1) + 2 for n = 1, 2, 3, ... 2) T(1) = 2 for n = 1 T(n) = 2T(n-1) + 4 for n = 2, 3, 4, … 3) Q(1) = c for n = 1 Q(n) = Q(n/2) + 2n for n = 2, 4, 8, …

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Q: T(n) = 2T(n/4) + nº.5 (nº.5Ign) Địn.5) e(n) e(n²)

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A:

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Q: Prove or disprove that for any x ∈ N, x(x+1)/2 ∈ N (where N = {0, 1, 2, 3, ….}

A: Hello student

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A: The answer is given below step.

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A:

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A:

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Q: T (1) = T+ Jn) +n 2.

A: As per Bartleby guidelines for multiple questions asked I am allowed to answer only first question.

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A: The complete answer is below:

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Bounded Summation

In mathematics, the summation is the process of adding a sequence of numeric values, known as addends and their result is called sum or total. The term summation refers to the addition or sum of two or more numbers or units. For example-