What are the next two numbers in the following sequence ?

10, 40, 90, 61, 52, 63, 94, ? , ?

(Explain how you arrived at your result).

The next two numbers in the given sequence are : 46 and 18

EXPLANATION:

The sequence is constituted by considering the square of the ith term and reversing the digits.

The first 9 squares of positive integers are:

01, 04, 09, 16, 25, 36, 49, 64 and 81 and accordingly, the first 9 terms of the sequence are:

First Term: 10

Second Term: 40

Third term: 90

Fourth term: 61

Fifth term: 52

Sixth term: 63

Seventh term: 94

Eighth Term: 46

Ninth Term: 18