BdMO 2020 Higher Secondary Regional P9
f(n)=f(n-1)+2n-2 and f(1)=2 then what is the value of f(100) ?
- Mehrab4226
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Re: BdMO 2020 Higher Secondary Regional P9
This solution kinda gets messy for generalizing it. But bear with me.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré
Re: BdMO 2020 Higher Secondary Regional P9
Just a little correctionMehrab4226 wrote: ↑Tue Mar 23, 2021 7:14 pmThis solution kinda gets messy for generalizing it. But bear with me.
- Mehrab4226
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- Joined:Sat Jan 11, 2020 1:38 pm
- Location:Dhaka, Bangladesh
Re: BdMO 2020 Higher Secondary Regional P9
Oh yes. Yes. Yes. I forgot the formula was $\frac{n(n+1)}{2}$. I thought that it was $\frac{n(n-1)}{2}$ Thanks for pointing that out!Noor_here wrote: ↑Thu Mar 25, 2021 5:18 pmJust a little correctionMehrab4226 wrote: ↑Tue Mar 23, 2021 7:14 pmThis solution kinda gets messy for generalizing it. But bear with me.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré