[Archive c 17.03.2008] Humour [Archive to 28.04.2012] - page 763
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The State Inspectorate of Small Boats (GIMS) is the water analogue of the traffic cops, they just went off the chain last Saturday-Sunday, apparently they also need to get the kids ready for school. They checked everyone who was on the river, and fined for the slightest discrepancy with the regulations. They started checking the boat, and as luck would have it, the man had everything - first-aid kit, documents, ID card, number plate, life vest...
And then it dawned on him: "Got a whistle?" (life jacket by the rules comes with a whistle). The man stands still, inspectors light up with joy. And suddenly...
- HEAVEN!!! There is a whistle!!!!
The fisherman was apparently also a hunter, dashes into some belongings in the boat and pulls out a decoy that quacks on a duck...
To the GIMS' last gasp, the guy blurted out that the tones of the whistle are not stipulated by any regulations and he could even carry a flute...
The SMI last weekend? o_o
It's -25 outside my window, what boats...
The SMI last weekend? o_o
it's -25 outside my window, what boats...
nice :)
nice :)
and then...?
and then...?
A number of 7 units, B(7), is 1111111 = (10^7 - 1)/9
A number of k units: B(k) = (10^k - 1)/9
Next,
A(7) = 1234567 =
1/9 * {(10^7-1) + (10^6-1)+ (10^5-1) + (10^4-1) + (10^3-1)+ (10^2-1) + (10^1-1)} =
1/9 * { 10 * (10^6+...+1) - 7 } =
1/9 * { 10 * B(7) - 7 }
So,
A(k) = 10/9 * B(k) - k/9, and therefore the expression on each line is:
A(k) * 9 + (k + 1) = 10 * B(k) + 1 = B(k + 1), which was required to prove.
That's what I'm talking about.
isn't...
But the best part is...
That's what I'm talking about.
isn't...
But the best part is...