Question

S = 1 * 2 + 2 * 3 + 3 * 4 + 38 * 39 + 39 * 40

Answer 1

S = 1 * 2 + 2 * 3 + 3 * 4 + ... + 38 * 39 + 39 * 40

=> 3S = 1 . 2 . 3 + 2 . 3 . 3 + 3 . 4 . 3 +... + 38 . 39 . 3 + 39 . 40 . 3

=> 3S = 1 . 2 . 3 + 2 . 3 . ( 4 - 1 ) + 3 . 4 . ( 5 - 2 ) + ... + 38 . 39 . ( 40 - 37 ) + 39 . 40 . ( 41 - 38 )

=> 3S = 1 . 2 . 3 + 2 . 3 . 4 - 1 . 2 .3 + 3 . 4. 5 - 2 . 3 .4 + ... + 38 . 39 . 40 - 37 . 38 . 39 + 39 . 40 . 41 - 38 . 39 . 40

=> 3S = 39 . 40 . 41

=> 3S = 63960

=> S = 21320

Vậy S là 21320

Answer 2

Ta có

S=1.2+2.3+....+39.40S=1.2+2.3+....+39.40

⇒3S=1.2(3−0)+2.3(4−1)+....+39.40(41−38)⇒3S=1.2(3−0)+2.3(4−1)+....+39.40(41−38)

⇒3S=1.2.3−0.1.2+2.3.4−1.2.3+....+39.40.41−38.39.40⇒3S=1.2.3−0.1.2+2.3.4−1.2.3+....+39.40.41−38.39.40

⇒ S = 39.40.41/3 ⇒ S = 39.40.41/3

=> S = 21320

Vậy S = 21320

Answer 3

s la21320