I don't quite see what i need to notice here:(adsbygoogle = window.adsbygoogle || []).push({});

the problem says try to prove this by induction and note what goes wrong:

1 + 1/2 + 1/4 + ... + 1/(2^n) < 2

so my solution so far is this:

Base case:

P(1): 1/(2^1) < 2 (true)

Assume P(k):

1/(2^k) < 2

Induction step P(k+1):

1/(2^(k+1)) < 2

expressing P(k+1) in terms of P(k):

1/(2^k) * 1/2 < 2

but how exactly to show what goes wrong here

Hints from anyone?

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# Homework Help: Problem with induction?

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