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(209*144)^2 + (209*209)+(209*144)+(144*144) = ?
a)

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In a sequence of integers A(n)=A(n-1)-A(n-2) , where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1. Calculate S(1000), where S(1000) is the sum of first 1000 terms
(1)2
(2)3
(3)4
(4)0