Question

Spunetimi si mie va rog la asta:
100/73+1/73+2/73+3/73+.....++100/73
Va rog urgent

Answer 1

$\frac{100}{73}+ \frac{1}{73}+ \frac{2}{73}+ \frac{3}{73}+ .... \frac{100}{73}= \frac{1}{73}\cdot(100+1+2+3+...+100) = \\ \\ = \frac{1}{73}\cdot(100+ \frac{100\cdot101}{2}) = \frac{1}{73}\cdot(100+50\cdot101) = \frac{1}{73}\cdot (100+5050) = \\ \\ = \frac{1}{73}\cdot5150 = \frac{5150}{73}$

Answer 2

100/73+1/73+2/73+3/73+.....+100/73=
=100/73+1/73(1+2+3+.....+100)=
=100/73+1/73 × 100×101/2=
=100/73+1/73 × 50×101=
=100/73+5050/73=5150/73