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imc

algebra intermediate

Problem

Suppose that is an arithmetic sequence with What is the value of
(A)
(B)
(C)
(D)
Solution
We should realize that the two equations are 100 terms apart, so by subtracting the two equations in a form like... ...we get the value of the common difference of every hundred terms one hundred times. So we have to divide the answer by one hundred to get ... ...the common difference of every hundred terms. Then we have to simply divide the answer by hundred again to find the common difference between one term, therefore...
Final answer
C