Prove by induction

[rare tulip]

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[coarse heath]

Since we are to do strong induction, these should also be helpful in proving that:
a_([(k+1)/2]) > 4*[(k+1)/2]
And
a_([(2k+2)/3]) > 4*[(2k+2)/3]

So their sum

a_([(k+1)/2]) + a_([(2k+2)/3]) > 4*[(k+1)/2] + 4*[(2k+2)/3]

Maybe if we can prove that:
4*[(k+1)/2] + 4*[(2k+2)/3] >= 3k +3, our problem would be finished (why you ask? Think about it yourself)

But wait

Since k>=3

This means that [(k+1)/2] >= [(3+1)/2] = 2 and [(2k+2)/3] >= [(2*3+2)/3] = 2

Yeah idk furthermore

Goodluck

Tho those should be useful

[lyric dirge]

tysm for the help

ill try

[lyric dirge]

sorry i still dont get how to prove it

[lyric dirge]

+close