Solve the problem.An equal number of shaded and nonshaded discs are lined up in a row with all the shaded discs together and all the nonshaded discs together. Switching just 2 adjacent discs at a time, find the minimum number of moves required to arrange the discs so that shaded and nonshaded discs alternate. Use the pattern below to solve. 
If the total number of discs in the row is 6, the number of moves needed is 
. Use inductive reasoning to find a formula for the number of moves needed in the row containing 2n discs.
A. 3; n(n-1)/2
B. 8; 3n + 1
C. 1; [n(n-1)/2] - 2
D. 6; n(n +1)/2
Answer: A
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