<transcript><audio_39>that's what monotonically increase it means right that the next one is greater than the now there are actually many different</transcript><transcript><audio_40>methods to approach this including some tricky manipulations with uh powers etc what i have decided is to do it well relatively straightforward</transcript><transcript><audio_41>um although maybe a little lengthier than some other methods i will just use the binomial formula in both cases now the binomial formula again it was discussed before in one of the lectures before and</transcript><transcript><audio_42>you know this this is the following um it's sum of the common member common member is coefficient is um n factorial divided by</transcript><transcript><audio_43>n minus a factorial and pi factorial i from 0 to n</transcript> that's what monotonically increase it means right that the next one is greater than the now there are actually many different methods to approach this including some tricky manipulations with uh powers etc what i have decided is to do it well relatively straightforward um although maybe a little lengthier than some other methods i will just use the binomial formula in both cases now the binomial formula again it was discussed before in one of the lectures before and you know this this is the following um it's sum of the common member common member is coefficient is um n factorial divided by n minus a factorial and pi factorial i from 0 to n
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