If $$p$$ be a natural number then prove that $${p^{n + 1}} + {\left( {p + 1} \right)^{2n - 1}}$$ is divisible by $${p^2} + p + 1$$ for every positive integer $$n$$.
Answer
Solve it.
4
IIT-JEE 1983
Subjective
Use mathematical Induction to prove : If $$n$$ is any odd positive integer, then $$n\left( {{n^2} - 1} \right)$$ is divisible by 24.
Answer
Solve it.
Questions Asked from Mathematical Induction and Binomial Theorem
On those following papers in Subjective
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