Binomial Expansion Two Middle Terms for Odd Exponent

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#binomialtheorem_application #combinatorics_IB #pascaltriangle_applications #telescopingseries #partial_fraction_method #higher_algebra #InductionMethod
  1. Anil Kumar
  2. Anil kumar
  3. anil kumar math
  4. aan learning centre
  5. iit
  6. jee
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Комментарии
Автор

The explanation is very clear thank you Sir ❤️

michellemickypaul-yken
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Thank you sir 🙏
Also, you explained very well

simpleconcept
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Mr. Anil, I have two questions: why are the number of terms one greater than the exponent? Don't we have the same number of terms as the exponent; precisely that's the case wuth the binomial square and binomial cube, so how is it changing? And the second one is that where did the equation t(r + 1) = nCr a^(n-r) b^r. I know the rth term can be calculated using nCr a^(n-r) b^r but why is your term (r+1)?

andrewjustin
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For even exponent you used the general term ( n/2)+1 where n was the power
But in case of odd exponent you are considering n as term number
Could you explain it please?

sarwat
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this is wrong!
terms: 0, 1, 2, 3, 4, 5, 6, 7 middle terms: 3, 4
it shows in the terms above the, the two terms were in the middle: 0, 1, 2, "3, 4", 5, 6, 7

jerichoadormeo