In the sequence defined by \(S_n=S{n-1}+x, S_1=3\) and \(S_5\) is equal to the sum of the distinct prime factors of

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In the sequence defined by \(S_n=S{n-1}+x, S_1=3\) and \(S_5\) is equal to the sum of the distinct prime factors of \(462.\) What is the average of the first five terms in the sequence?

A. 5
B. 13
C. 23
D. 26
E. 65

Answer: B

Source: Princeton Review
Source: — Problem Solving |