Question: provide in latex code aswell as regular writing if possible Assume n is an exact power of 2(n=2j for some natural number j) and consider

provide in latex code aswell as regular writing if possible
Assume n is an exact power of 2(n=2j for some natural number j) and consider the recurrence T(n)={54T(2n)+7nifn=1ifn>1. Use induction to prove that T(n)=f(n) with f(n)=5n2+7n(n1)
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