Math Olympiad Question | How to Simplify ?

Math Olympiad Question | How to Simplify ?
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Пікірлер: 3

  • @akashnarayanan4199
    @akashnarayanan41995 күн бұрын

    Video starts at 0:35

  • @guyhoghton399
    @guyhoghton3992 күн бұрын

    Simpler to use the formula for the sum of a G.P.: _a(rⁿ - 1)/(r -1)_ where _a_ is the 1ˢᵗ term, _r_ the common ratio and _n_ the number of terms. ∴ _9¹ + 9² + 9³ + 9⁴ + 9⁵ = _*_9(9⁵ - 1) / (9 - 1)_*_ = (9 × 59048) / 8 = 66429_

  • @benheideveld4617
    @benheideveld46176 күн бұрын

    Simplify and compute are not the same thing… use 1/1-x=1+x+x²+x³+… 9+9²+9³+9^4+9^5= 9(1+…+9^4)= 9(1/1-9 - 9^6-9^7-…)= 9(1/1-9 - 9^6/1-9)

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