does sequence exist?

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Is there a sequence of positive integers in which every positive integer occurs exactly once and for every k = 1, 2, 3, . . . the sum of the first k terms is divisible by k?

#Mathematics #Olympiad Stuff

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5 Answers

Mani Pal Singh ·2009-04-20 07:03:58

DUDE n! is divisible by n
i think u were asking this

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Philip Calvert ·2009-04-20 07:38:30

im sure i have seen this one before...

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virang1 Jhaveri ·2009-04-20 07:51:37

Yes the series is
2 ,4,6,8,10,....
All the even number

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Celestine preetham ·2009-04-20 10:11:24

but virang all pos integers shud be a part of sequence

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Celestine preetham ·2009-06-17 04:02:25

no ?

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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does sequence exist?

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