Question

Tính:

a) B= 1-2-3+4+5-6-7+8+...+1993-1994.

b) C= 1+2-3+4+5+6-7-8+9+...+2002-2003-2004+2005+2006

c) D= 1² - 2² + 3²  - 4² +...+ 9² - 100²  + 101²

Giúp mình nha, tks!

Answer 1

a ) B= (1-2-3+4) + ( 5 - 6-7+8) + ... + (1989-1990-1991+1992) + 1993 - 1994

B= 0 + 0 + 0 + ...+0 + 1993 - 1994

B = -1

b) Đề em  sai nhé. cô viết lại như sau

C=1+2-3-4+5+6-7-8+9 + ...+ 2002 - 2003 - 2004 + 2005+2006

C= 1+ (2-3-4+5) +(6-7-8+9) + ...+ ( 2002 - 2003 - 2004 +2005) + 2006

C= 1+0+0+0+...+0+2006

C= 1 + 2006 = 2007

c) D= ( 1-2).(1+2) + ( 3-4).(3+4) + ...+ ( 99-100). ( 99 +100) + 10201

D=(- 3 -  7 - 11 -... - 199) + 10201

D= - (3+7+11+ ... + 199) + 10201

D= - [(199-3):4+1].(3+199):2 + 10201

D= - 25.202+10201=-5050+10201=5151