463

Cherry

New member
#1
In a sequence of 10 terms, the rst term is 1, the second term is x, and each term after the second is the sum of the previous two terms. For example, if x = 11, the sequence would be 1, 11, 12, 23, 35, 58, 93, 151, 244, 295. For some values of x, the number 463 appears in the sequence. If x is a positive integer, what is the sum of all the values of x for which 463 appears in the sequence?

\(\textbf{(A)} \text{ 1156} \\ \textbf{(B)} \text{ 1296} \\ \textbf{(C)} \text{ 1248} \\ \textbf{(D)} \text{1528} \\ \textbf{(E)} \text{ 1283}\)