формула бине

: , ..: 415 .

(1786 - 1856) , .

Fn = Fn-1 + Fn-2 (1)F1 = F2 = 1D D, +, Z , 1) D, + 2) 1 a = a ( ) a = ( a ) ( + ) a = a + a ( a + b ) = a + b

S (1).S D

, S, +, Z D, +, Z, s1, s2 S : s1 s2 S ks1 S

V = {v1, v2, v3,, vn,}W = {w1, w2, w3,, wn,} , V, W S., V W S.U = {u1, u2,, un}. U = V W u1 = v1 w1, u2 = v2 w2,,un = vn wnun = (vn-1 + vn-2) (wn-1 + wn-2) = (vn-1 wn-1) + (vn-2 wn-2) = un-1 + un-2 U S.

2) V S, k Z. , kV S. V = {v1, v2,vn} k, kV = {kv1,kv2,kvn}kvn= k(vn-1 + vn-2) = kvn-1 +kvn-2

S, S .

:1) S.2) .

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