5. Let 02(n) be the sum of the squares of the divisors of n 0₂(n) = Σd². din Make a guess at a general formula for O(n), the sum of the kth powers of the divisors of n.

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Q: 3 21. (k +1) k=1

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Q: Write the closed form of the summation as a polynomial in n. 1. 3i + 3

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Q: Indicate the least integer n such that (3x5 + x²)4 = 0(x¹). E

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Q: Show that the generating function for the number of compositions of n where each part is either 2 or…

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Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: 20 41. Find ²k²(k − 3). (Use Table 2.)

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Q: (b) Prove that 32n²+1, for n ≥ 1.

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Q: Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

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