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TCS Other Question

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 words?
options are 2,3 ,4 and 0.
What is the common factor of (47^43 + 43^43) and (47^47 + 43^47) ?