1993 AHSME Problems/Problem 21

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Let a_1,a_2,...,a_k be a finite arithmetic sequence with a_4 +a_7+a_10 = 17 and a_4+a_5+...+a_13 +a_14 = 77. if a_k = 13, then k =

(A) 16 (B) 18 (C) 20 (D) 22 (E) 24