The first few terms of sequence $$\(S\)$$ are $$\(20,4,16,37, \ldots\)$$. If the sum of the squares of the digits of the $$\(n^{\text {th }}\)$$ term of $$\(S\)$$ is the $$\((n+1)^{\text {st }}\)$$ term of $$\(S\)$$, what is the $$\(2015^{\text {th }}\)$$ term of $$\(S\)$$ ?

A.
1
B.
4
C.
85
D.
145
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:24

Answer:

D

Knowledge points:

G10-12 - Algebra - Sequences & Series (Arithmetic, Geometric, Recursive)

Solution:

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