PUZZLE #5504: Basel Problem (diff 1)
The Basel problem asks: what is the sum of 1/n² for n=1 to ∞? Euler proved it equals π²/6. Given N = 10, compute the partial sum S = ∑₁^10 1/n². Take the fractional part × 10000, mod 26 → letter.
DATA
| N |
10
|
| Decimal Multiplier |
10000
|
| Hint |
Sum 1/n² from n=1 to 10. S = 1.5497677312. Fractional part = 0.549768. × 10000 = 5497. Mod 26 = 11 → 'l'.
|
| Answer Format |
single lowercase letter
|
author's note: Pool fill: basel-problem diff 1
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