Question

Berapa hasil dari 1+2+3+4+5+6+...+94+95+96+97+98+99+100?

dan -100-99-98-97-96-...-3-2-1-0+1+2+3+4+5+6+...+95+96+97+98+99?

Answer 1

Verified answer

Materi : Teori Bilangan

Pembahasan :
1 + 2 + 3 + ... + 100 = 100/2(1 + 100)
1 + 2 + 3 + ... + 100 = 50(101)
1 + 2 + 3 + ... + 100 = 5050

————————————————
Un = 99
a + (n - 1)b = 99
-100 + (n - 1)1 = 99
n - 101 = 99
n = 200

-100 - 99 - 98 - ... + 99
= 200/2(-100 + 99)
= 100(-1)
= -100