Question

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Answer 1

Prove that
\[\huge n ^{n} \ge 1.3.5.....(2n-1)\]

Answer 2

proving by induction is easy,
im not sure if there is any other method...

@SithsAndGiggles @myininaya

Answer 3

i don't know induction

Answer 4

@shubhamsrg

Answer 5

using AM>=GM
1+3+5...(2n-1) /n >= (1.3...(2n-1)) ^(1/n)
Rest is easy

Answer 6

wow ! thats brilliant xD
we just find the sum of AP on left side and cancel stuff !