Question

Sn= 1-2+3-4......,upto n terms, then find the valve of S. 2002-S. 2003+S. 2004

Answer 1

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Here's your answer!!
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Answer 2

hii. ......friend

the answer is here,

Sn= 1-2+3-4+..........

S2002 => 1-2+3-4+..........+2001-2002

=> (1-2)+(3-4)+........+(2001-2002).

=> (-1)+(-1)+(-1)+...........1001times.

=> -1001.

S2003 = S2002+2003

=> -1001+2003

=> 1002.

S2004 => 1-2+3-4+..........2003-2004.

=> (1-2)+(3-4)+........ (2003-2004).

=> (-1)+(-1)+(-1)+...........1002times .

=> -1002.

From the question,

S2002-S2003+S2004.

=> -1001-1002-1002.

=> -3005.

:-)hope it helps u.