Question

Calculați: x=2^51×2^52×2^53×...×2^100.

Answer 1

x = 2^51+53+53+...100

51+52+53+...+100 : (S)

51 = 1 ( termenul) × 1 ( din cat in cat se numara ) +50

52 = 2×1+50

53 =3×1 +50

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100= n × 1 + 50 ____ n = 100-50 =50

S = (1+2+3+...+50) × 1 + 50×50

S = (50 × 51 : 2 ) × 1 + 2500

S = ( 25 × 51 ) × 1 + 2 500

S = 26775 ×1 + 2500

S = 29275

X= 2^29275

Stiu ca nu e o metoda oficiala dar eu asa am invatat