Question

So sánh \(1\cdot3\cdot5\cdot7\cdot...\cdot99\)với \(\frac{51}{2}\cdot\frac{52}{2}\cdot\frac{53}{2}\cdot...\cdot\frac{100}{2}\)

Answer 1

Bằng nhau

Answer 2

Bằng nhau nha bạn !!!!

Answer 3

= nhau 100% mình làm rồi

Answer 4

bằng nhau, mk làm rùi

Answer 5

Ta có 1.3.5.7....99

= (1.3.5.7....99).2.4.6.8...100/2.4.6.8...100

=1.2.3.4.5.6.7.8...99.100/2.4.6.8...100

=1.2.3.4.5.6.7.8...100/1.2.2.3.2.4.2....50.2

=1.2.3.4.....50.51....100/(1.2.3.4....50).2.2.2.2...2

=51.52.53.54...100/2.2.2.2....2

=51/2 . 52/2 . 53/2 . 53/2 . 54/2. ... .100/2

VẬY 1.3.5.7...99= 51/2 . 52/2 . 53/2 . 54/2 . ... .100/2

Answer 6

Ta có 1.3.5.7....99

= (1.3.5.7....99).2.4.6.8...100/2.4.6.8...100

=1.2.3.4.5.6.7.8...99.100/2.4.6.8...100

=1.2.3.4.5.6.7.8...100/1.2.2.3.2.4.2....50.2

=1.2.3.4.....50.51....100/(1.2.3.4....50).2.2.2.2...2

=51.52.53.54...100/2.2.2.2....2

=51/2 . 52/2 . 53/2 . 53/2 . 54/2. ... .100/2

VẬY 1.3.5.7...99= 51/2 . 52/2 . 53/2 . 54/2 . ... .100/2