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(Solved): Problem 3: Define the integer sequences (xn)n=1 and (yn)n=1 by xn+yn2=( ...



Problem 3: Define the integer sequences \( \left(x_{n}\right)_{n=1}^{\infty} \) and \( \left(y_{n}\right)_{n=1}^{\infty} \) b

Problem 3: Define the integer sequences and by (So and . And since , we get and . Etc.) Show that for all .


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We have the following relation:xn+yn2=(3+22)n…..(1)Using binomial theorem we get, (3+22)n=3n+n3n?1(22)+n(n?
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