suite3.py

Created by hicham-choukour

Created on December 12, 2023

536 Bytes

(Un)une suite arithmetique de 
raison 1/2 telle que U1=-1

a)Calculer u100 
Un=Uk + (n-k)*r
n=100;k=1

U100=U1 + (100-1)*  1/2
U100=-1 + (100-1)*  1/2
U100=-1 + 99/2
U100=97/2

b) La somme S=U26+U27+...+U50.

S=U26+U27+...+U50
S=(50-26+1)*(U26+U50)/2
S=25*(U26+U50)/2

Un=Uk + (n-k)*r
n=50;k=1

U50=U1 + (50-1)*  1/2
U50=-1 + (50-1)*  1/2
U50=-1 + 49/2
U50=47/2

n=26;k=1

U26=U1 + (26-1)*  1/2
U26=-1 + (26-1)*  1/2
U26=-1 + 25/2
U26=23/2

S=25* (23/2 + 47/2) / 2
S=25* (70/2)/2
S=25* 70/4
S=25*35 /2
S=875   /2
S=437.5

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