The sequence \(a_1, a_2, a_3, \ldots a_n\) is defined such that \(a_n=a_{n-1}+9+n\) for all \(n>1.\) If \(a_1=10,\) what

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The sequence \(a_1, a_2, a_3, \ldots a_n\) is defined such that \(a_n=a_{n-1}+9+n\) for all \(n>1.\) If \(a_1=10,\) what is the value of \(a_{11}?\)

(A) 150
(B) 155
(C) 160
(D) 165
(E) 170

Answer: D

Source: Manhattan GMAT
Source: — Problem Solving |