ꯈꯣꯡꯊꯥꯡ ꯈꯣꯡꯊꯥꯡ: ꯐꯤꯕꯣꯅꯥꯆꯤꯒꯤ ꯀꯥꯛꯄ ꯑꯃꯥ
ꯑꯃꯨꯕꯕꯦꯠꯑꯃꯨꯕꯑꯃꯨꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯅꯣꯌꯥꯔ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ ꯊꯝꯂꯕ ꯁꯦꯜ 1, 1, 2, 3, 5, 8, 13, ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯍꯜꯂꯀꯏ꯫ ꯇꯞꯅ ꯆꯠꯄ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ ꯑꯃꯥ, ꯑꯃꯁꯨꯡ ꯃꯁꯤꯒꯤ ꯂꯥꯟꯊꯣꯛ ꯀꯔꯝꯅ ꯂꯥꯀꯄꯒꯦ꯫
ꯌꯨꯅꯤꯠ ꯑꯃꯗ $5 ꯊꯝꯗꯨꯅ ꯁꯤꯃꯨꯂꯦꯠ ꯇꯧꯔꯕ ꯁ꯭ꯄꯤꯟ 90 ꯒꯤ ꯐꯤꯕꯣꯅꯥꯆꯤ ꯁꯦꯁꯟ ꯑꯃꯥ꯫ ꯁꯥꯏꯀꯜ ꯀꯨꯟ ꯂꯣꯏꯁꯤꯟꯗꯨꯅ ꯈꯨꯗꯤꯡꯗ $5 ꯐꯪꯈꯤ, ꯃꯥꯄꯟꯁꯨꯕ ꯇꯔꯝ ($170 ꯊꯝꯂꯕ ꯁꯦꯜ) ꯐꯥꯑꯣꯕ ꯆꯠꯈꯤꯕ ꯐꯠꯇꯕ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯑꯃꯅ ꯁꯦꯁꯟ ꯑꯗꯨ $340 ꯃꯥꯡꯍꯅꯈꯤ꯫ ꯑꯅꯤ ꯊꯥꯛꯄꯗꯒꯤ ꯇꯞꯅ ꯆꯠꯂꯤ, ꯇꯞꯅ ꯆꯠꯇꯕ ꯃꯇꯝ ꯑꯗꯨ ꯐꯥꯑꯣꯕ꯫
ꯁꯤꯛꯋꯦꯟꯁ ꯑꯗꯨꯗ ꯆꯠꯄ
ꯃꯥꯏꯊꯤꯕ ꯑꯃꯅ ꯈꯣꯡꯊꯥꯡ ꯑꯃꯥ ꯃꯃꯥꯡꯗ ꯆꯠꯍꯜꯂꯤ꯫ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯅ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯃꯇꯨꯡꯗ ꯍꯜꯂꯛꯍꯜꯂꯤ꯫
ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯃꯁꯨꯡ ꯃꯍꯩꯁꯤꯡ ꯑꯁꯤ ꯍꯧꯔꯛꯐꯃꯒꯤ ꯕꯦꯠꯀꯤ ꯌꯨꯅꯤꯠꯇꯅꯤ꯫
ꯊꯧꯔꯥꯡ
ꯑꯍꯥꯅꯕ ꯐꯤꯕꯣꯅꯥꯆꯤꯊꯧꯔꯥꯡꯐꯤꯕꯣꯅꯥꯆꯤ1, 1, 2, 3, 5, 8, 13… ꯁꯤꯛꯋꯦꯟꯁ ꯃꯇꯨꯡ ꯏꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ: ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯃꯥ ꯃꯃꯥꯡꯗ, ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯁꯤꯡ, $5, ꯊꯝꯕ꯫ ꯃꯥꯏꯊꯤꯔꯕꯗ ꯃꯊꯧ ꯑꯗꯨꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯃꯥ ꯔꯥꯏꯠꯇ ꯆꯠꯄ꯫ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯂꯦꯐꯇꯇ ꯆꯠꯄ꯫ ꯍꯧꯔꯀꯐꯃꯗ ꯍꯜꯂꯛꯇꯨꯅ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯀꯥꯟꯅꯔꯕꯗ ꯁꯥꯏꯀꯜ ꯑꯃꯥ ꯂꯣꯏꯁꯤꯜꯂꯤ꯫ ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯊꯧꯔꯥꯡꯃꯥꯔꯇꯤꯟꯒꯦꯜꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯇꯨꯡꯗ ꯕꯦꯠ ꯑꯗꯨ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ꯫ ꯃꯁꯤꯅ ꯀꯔꯤ ꯇꯧꯕꯒꯦ ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯇꯧꯗꯕꯒꯦ ꯍꯥꯌꯕ ꯊꯧꯔꯥꯡꯒꯤ ꯁꯦꯛꯁꯅꯗ ꯌꯦꯡꯕꯤꯌꯨ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒ ꯆꯥꯡꯗꯝꯅꯕꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ×2 ꯒꯤ ꯃꯍꯨꯠꯇ ×1.6 ꯍꯦꯜꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯂꯥꯟꯊꯣꯛ ꯑꯗꯨ ꯍꯦꯟꯅꯥ ꯂꯥꯞꯄꯗ ꯂꯩ ꯑꯃꯁꯨꯡ ꯍꯟꯅꯥ ꯀꯥꯕ ꯑꯗꯨ ꯍꯦꯟꯅꯥ ꯇꯞꯏ: ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯅ ꯁꯥꯏꯀꯜ ꯑꯗꯨ ꯂꯣꯏꯁꯤꯅꯍꯟꯗꯦ, ꯈꯣꯡꯊꯥꯡ ꯍꯜꯂꯛꯍꯟꯕꯈꯛꯅꯤ꯫
ꯁ꯭ꯄꯤꯟ 1–40
ꯁꯥꯏꯀꯜ ꯇꯔꯥꯑꯃꯥ ꯂꯣꯏꯁꯤꯅꯈꯤ, ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯡꯕ ꯑꯗꯨ ꯃꯉꯥꯁꯨꯕ ꯇꯔꯝ ($25) ꯐꯥꯑꯣꯕ ꯆꯠꯈꯤ꯫ ꯂꯣꯏꯁꯤꯅꯈꯤꯕ ꯁꯥꯏꯀꯜ ꯈꯨꯗꯤꯡꯅ ꯆꯨꯃꯅ $5 ꯀꯥꯟꯅꯈꯤ; ꯍꯤꯁꯥꯕ ꯊꯝꯕ ꯅꯨꯡꯉꯥꯏ ꯑꯃꯁꯨꯡ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯄꯤꯛꯅ ꯂꯩꯈꯤ꯫ ꯃꯍꯩ +$55꯫ ꯀꯤꯕ ꯂꯧꯊꯣꯀꯈ꯭ꯔꯕ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ ꯑꯃꯒꯨꯝ ꯐꯥꯑꯣꯏ꯫
ꯁ꯭ꯄꯤꯟ 41–70
ꯁ꯭ꯄꯤꯟ 60 ꯐꯥꯑꯣꯕꯗ ꯁꯥꯏꯀꯜ ꯃꯉꯥ ꯍꯦꯟꯅꯥ ꯂꯣꯏꯁꯤꯜꯂꯤ (+$25)꯫ ꯃꯇꯨꯡꯗ ꯂꯣꯏꯁꯤꯅꯗꯕ ꯁꯥꯏꯀꯜ ꯑꯗꯨ ꯂꯥꯀꯏ꯫ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯄꯥꯛ ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ: ꯊꯝꯂꯕ ꯁꯦꯜ 5, 5, 10, 15, 25, 40, 65 (ꯃꯥꯏꯊꯤꯕ ꯇꯔꯦꯠ, −$165), $105 ꯗ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯥ (+$105, ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯍꯜꯂꯛꯇꯨꯅ $40), ꯃꯇꯨꯡꯗ $40 ꯑꯃꯁꯨꯡ $65 ꯗ ꯃꯥꯏꯊꯤꯕ ꯑꯅꯤ꯫ ꯍꯧꯖꯤꯛ ꯑꯩꯈꯣꯌ ꯅꯤꯄꯥꯟꯁꯨꯕ ꯇꯔꯃꯗ, $105 ꯗ ꯂꯩ, ꯁꯥꯏꯀꯜ ꯑꯁꯤꯗ −$165 ꯒ ꯂꯣꯌꯅꯅ, ꯑꯃꯁꯨꯡ ꯃꯊꯪꯒꯤ ꯃꯥꯏꯊꯤꯕꯅ $200 ꯒꯤ ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯇꯦꯕꯜꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯌꯥꯍꯜꯂꯤꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯑꯃꯁꯨꯡ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕ ꯕꯦꯠ꯫ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕ ꯉꯝꯈꯩ ꯑꯗꯨꯅ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯊꯤꯡꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒ ꯆꯥꯡꯗꯝꯅꯕꯗ $170 ꯗ ꯊꯥꯛꯀꯅꯤ꯫ ꯁꯔꯨꯛ ꯑꯁꯤꯒꯤ ꯃꯍꯩ −$140꯫
- p10 −$500
- p25 −$500
- ꯃꯤꯗꯤꯌꯥꯟ −$500
- p75 +$390
- p90 +$480
ꯁ꯭ꯄꯤꯟ 71–90
ꯃꯥꯏꯊꯤ ꯃꯥꯏꯊꯤ: $105 ꯑꯃꯁꯨꯡ ꯃꯇꯨꯡꯗ $170 ꯃꯥꯡꯈꯤ, ꯑꯃꯁꯨꯡ ꯁꯥꯏꯀꯜ ꯑꯗꯨ −$440 ꯗ ꯂꯩꯔꯦ꯫ ꯃꯊꯪꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜ $275 ꯑꯣꯏꯒꯅꯤ, ꯉꯝꯈꯩꯒꯤ ꯃꯊꯛꯇ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯁ꯭ꯄꯤꯟ 72 ꯗ ꯑꯩꯈꯣꯌꯅ ꯁꯥꯏꯀꯜ ꯑꯗꯨ ꯊꯥꯗꯣꯛꯇꯨꯅ $5 ꯗꯒꯤ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯍꯧꯏ꯫ ꯃꯗꯨꯅꯤ ꯂꯥꯟꯊꯣꯛ꯫ ꯑꯔꯣꯏꯕ ꯁ꯭ꯄꯤꯟ ꯇꯔꯥꯅꯤꯄꯥꯟꯗ ꯁꯥꯏꯀꯜ ꯃꯔꯤ ꯍꯦꯟꯅꯥ ꯂꯣꯏꯁꯤꯜꯂꯤ꯫ ꯑꯔꯣꯏꯕ −$340; ꯕꯦꯡꯀꯔꯣꯜꯁꯦꯜꯕꯦꯡꯀꯔꯣꯜꯁꯥꯟꯅꯅꯕ ꯇꯣꯉꯥꯟꯅ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ꯫ ꯕꯦꯡꯀꯔꯣꯜ ꯃꯦꯅꯦꯖꯃꯦꯟꯠ ꯍꯥꯌꯕꯁꯤ ꯃꯗꯨꯒꯤ ꯀꯌꯥ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯑꯃꯁꯨꯡ ꯁꯦꯁꯟ ꯈꯨꯗꯤꯡꯗ ꯈꯨꯗꯣꯡꯊꯤꯕꯗ ꯊꯃꯒꯗꯒꯦ ꯍꯥꯌꯕ ꯋꯥꯔꯦꯞ ꯂꯧꯕꯅꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯃꯐꯝ −$360 ꯅꯤ꯫
ꯁꯦꯟꯒꯤ ꯍꯤꯁꯥꯕ
ꯄꯨꯝꯅꯃꯛ ꯊꯝꯂꯕ ꯁꯦꯜ ꯃꯇꯧ ꯀꯨꯞꯅ $1,200, ꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡꯗ $450 ꯒ ꯆꯥꯡꯗꯝꯅꯕꯗ꯫ $1,200 ꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → $32; ꯑꯁꯦꯡꯕ ꯃꯍꯩ −$340 ꯑꯁꯤ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯃꯦꯊꯃꯦꯇꯤꯛꯁꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯚꯦꯌꯔꯤꯌꯦꯟꯁꯀꯤ ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯔꯨꯠ; ꯃꯍꯩ ꯑꯃꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯗꯒꯤ ꯌꯥꯝꯅ ꯂꯥꯞꯄ ꯃꯑꯣꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯗꯒꯤ ꯍꯦꯟꯅꯥ, ꯃꯇꯧ ꯀꯨꯞꯅ ꯑꯃꯁꯨꯡ ꯁꯔꯨꯛ ꯑꯅꯤꯗ ꯑꯃꯗ ꯅꯦꯝꯃꯤ; ꯐꯠꯇꯕ ꯁꯦꯁꯟ ꯑꯃꯅꯤ, ꯑꯃꯁꯨꯡ ꯆꯥꯡ ꯑꯁꯤꯗ ꯐꯤꯕꯣꯅꯥꯆꯤꯅ ꯃꯇꯃꯒꯤ ꯃꯉꯥꯗ ꯑꯃꯒꯤ ꯃꯇꯧ ꯀꯨꯞꯅ ꯄꯨꯊꯣꯀꯄ ꯃꯈꯂꯒꯤ ꯁꯦꯁꯟꯅꯤ꯫ ꯂꯣꯏꯁꯤꯅꯈꯤꯕ ꯁꯥꯏꯀꯜ ꯈꯨꯗꯤꯡꯅ $5 ꯄꯤꯈꯤ; ꯐꯠꯇꯕ ꯁꯥꯏꯀꯜ ꯑꯗꯨꯅ ꯃꯈꯣꯌꯒꯤ 88ꯒꯤ ꯃꯃꯜ ꯆꯪꯈꯤ꯫
ꯁꯦꯁꯟ ꯑꯁꯤꯅ ꯎꯠꯂꯤꯕ
ꯐꯤꯕꯣꯅꯥꯆꯤꯅ ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯒꯤ ꯂꯥꯟꯊꯣꯛ ꯑꯗꯨ ꯁ꯭ꯄꯤꯟ ꯀꯌꯥꯗ ꯁꯟꯗꯣꯀꯏ ꯑꯃꯁꯨꯡ ꯍꯦꯟꯅꯥ ꯂꯥꯞꯄꯗ ꯊꯥꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯁꯤ ꯍꯦꯟꯅꯥ ꯉꯥꯀꯊꯣꯛꯂꯤ ꯑꯃꯁꯨꯡ ꯍꯦꯟꯅꯥ ꯃꯤꯅꯝꯂꯤ: ꯐꯠꯇꯕ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯗꯨ ꯂꯥꯀꯄ ꯐꯥꯑꯣꯕ ꯃꯊꯧ ꯑꯗꯨ ꯆꯨꯝꯅ ꯎꯏ꯫ ꯗꯣꯂꯥꯔ ꯑꯃꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯍꯣꯡꯗꯦ; ꯀꯥꯕ ꯑꯗꯨꯗꯒꯤ ꯊꯣꯀꯄ ꯍꯦꯟꯅꯥ ꯇꯔꯅꯑꯣꯚꯔꯁꯦꯜꯇꯔꯅꯑꯣꯚꯔꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ, ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜꯁꯨ ꯌꯥꯎꯅ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯍꯦꯟꯗꯜ, ꯑꯦꯛꯁꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨꯗ ꯁꯦꯜ ꯆꯠꯂꯤ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯇꯔꯝ n ꯗ ꯃꯥꯏꯄꯥꯛꯄꯅ ꯇꯔꯝ n−1 ꯑꯃꯁꯨꯡ n−2 ꯒꯤ ꯃꯥꯡꯈꯤꯕ ꯁꯦꯜ ꯍꯟꯅꯥ ꯄꯨꯔꯛꯂꯤ, ꯃꯈꯣꯌ ꯄꯨꯟꯁꯤꯟꯂꯕꯗ ꯃꯗꯨꯒ ꯃꯥꯟꯅꯩ꯫ ꯃꯊꯧ ꯑꯁꯤ ꯅꯤꯌꯝ ꯑꯁꯤꯒꯤꯗꯃꯛ ꯁꯦꯃꯈꯤꯕꯅꯤ꯫
ꯃꯥꯏꯊꯤꯕ ꯃꯁꯤꯡ ꯑꯗꯨꯃꯛꯇ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯦꯟꯅꯥ ꯅꯦꯝꯃꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯂꯥꯟꯊꯣꯛ ꯑꯗꯨ ꯍꯦꯟꯅꯥ ꯊꯦꯡꯅ ꯂꯥꯀꯄꯒꯤ ꯋꯥꯈꯜꯗ ꯍꯣꯌ꯫ ꯐꯪꯒꯗꯕ ꯃꯃꯜ ꯃꯥꯟꯅꯩ꯫
$5 ꯒꯤ ꯌꯨꯅꯤꯠꯇ ꯇꯔꯥꯅꯤꯊꯣꯏꯁꯨꯕ ꯇꯔꯝ: 5, 5, 10, 15, 25, 40, 65, 105, 170, 275, 445, ꯃꯇꯨꯡꯗ 720꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ
ꯒꯣꯜꯗꯦꯟ ꯔꯦꯁꯤꯑꯣ 1.618꯫ ꯍꯥꯎꯁ ꯑꯦꯖ ꯍꯧꯖꯤꯛꯁꯨ 2.70%꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.