Răspuns:
Explicație pas cu pas:
Calculeaza:
b) 11/17+1111/1717+111111/171717+...+1111...11/1717...17
[--------------------------------------------------------]
102 termeni
1111/1717=11·101/17·101=11/17
111111/171717=11·10101/17·10101=11/17
Fiecare termen din suma este egal cu 11/17, deci suma este egala cu (11/17)·102 termeni=11·102/17=1122/17=66
11/17+1111/1717+111111/171717+...+1111...11/1717...17[-----] 102 termeni=66
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Răspuns:
Explicație pas cu pas:
Calculeaza:
b) 11/17+1111/1717+111111/171717+...+1111...11/1717...17
[--------------------------------------------------------]
102 termeni
1111/1717=11·101/17·101=11/17
111111/171717=11·10101/17·10101=11/17
Fiecare termen din suma este egal cu 11/17, deci suma este egala cu (11/17)·102 termeni=11·102/17=1122/17=66
11/17+1111/1717+111111/171717+...+1111...11/1717...17[-----] 102 termeni=66