Question

A=1+3+5+7+........+2009.&B=2+4+6+.........+2010 then the value of (A-B) 2 IS _____

Answer 1

(A - B) = (1-2) + (3-4) + (5-6) + .... + ( 2009 - 2010 )
            = -1 * (no. of terms in A or B)
            = -1 * 2010/2
            = -2010 / 2
.'. (A-B) * 2 = 2 * -2010 / 2 = -2010
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