Question

The first term of a sequence is 2014. Each succeeding term is the sum of the cubes of

the digits of the previous term. What is the 2014tℎ

term of the sequenc

Answer 1

The second term is 73, third term being 370, fourth term being 370 itself. Meaning
that from third term onwards, all terms are same giving the 2014th term as 370.
The number 370 is the sum of the cubes of its digits. The whole
numbers which are the sum of the cubes of its digits are called Armstrong Numbers. There
are only 6 Armstrong numbers namely 0, 1, 153, 370, 370 and 407. Let us call the numbers
which are the sum of
th powers of its digits as Armstrong Numbers of order the reader is
invited to prove that there are only finite number of Armstrong Numbers of order although
finding them may be a tough task without the aid of computers.

Answer 2

the answer would be 370
ok....