Question

Bagaimana cara menjawabb1+2+3+.......+1000? Kasih tau caranya ya

Answer 1

Verified answer

Materi Baret

Gunakan Trik Gauss.
1 + 2 + 3 + ... + 1000
Kelompokkan seperti ini:
= (1 + 1000) + (2 + 999) + (3 + 998) + ... + (500 + 501)
= 1001 + 1001 + .... + 1001
Semuanya 1001 dan ada sebanyak 500 , jadi
= 1001 × 500
= (1000 + 1) × 500
= 500.500

Answer 2

Verified answer

Alternative cara :
a = 1
b = 1
u1000 = 1000
s1000?

s1000 = n/2 ( a + Un)
s1000 = 1000/2 ( 1 + 1000)
s1000 = 500 x 1001
s1000 = 500500