Pₙ = n! = 1*2*....*(n-1)*n
Pₙ = n*Pₙ₋₁
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a) нет б) нет в) да г) да
P₃ + P₂ = 1*2*3 + 1*2 = 8 ≠ P₅ = 1*2*3*4*5 = 120
(P₈ - P₇) / P₆ = P₆(7*8 - 7)/P₆ = 49 ≠ P₁/P₆ = 1/(1*2*3*4*5*6)
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(P₈ - P₇) / P₆ = P₆(7*8 - 7)/P₆ = 49
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(Pₙ - Pₙ₋₁ ) / Pₙ₋₂ = Pₙ₋₂(n(n -1) - (n-1))/Pₙ₋₂ = n² - n - n +1 = n² -2n + 1 = (n - 1)²
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Verified answer
Pₙ = n! = 1*2*....*(n-1)*n
Pₙ = n*Pₙ₋₁
----
a) нет б) нет в) да г) да
----
P₃ + P₂ = 1*2*3 + 1*2 = 8 ≠ P₅ = 1*2*3*4*5 = 120
----
(P₈ - P₇) / P₆ = P₆(7*8 - 7)/P₆ = 49 ≠ P₁/P₆ = 1/(1*2*3*4*5*6)
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(P₈ - P₇) / P₆ = P₆(7*8 - 7)/P₆ = 49
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(Pₙ - Pₙ₋₁ ) / Pₙ₋₂ = Pₙ₋₂(n(n -1) - (n-1))/Pₙ₋₂ = n² - n - n +1 = n² -2n + 1 = (n - 1)²