Answer:
B
Step-by-step explanation:
The sequence is ABCDEDCBABCDEDCBABCDEDCBA....
⇒The main sequence is the repitition of the sub-sequence ABCDEDCB
2010 when divided by 8 gives a quotient of 251 and a remainder of 2
251×8 = 2008
This means that after the sub-sequence ABCDEDCB is repeated for 251 times, it's last letter B is the [tex]2008^{th}[/tex] letter of the main sequence
Even after that, the sub-sequence ABCDEDCB keeps repeating and the [tex]2010^{th}[/tex] letter in the main sequence is the [tex]2^{nd}[/tex] letter of the sub-sequence ABCDEDCB, that is "B"