**(1)**

**(2)**

in base b ( )

**(3)**

No zeros appear in the solution.

**(4)**

are positive integers in arithmetic sequence such that

,

Find

Determine the possible four digit number(s) that represent

and are nonzero digits

**(5)**

Substitute each of the letters by a different digit from 0 to 9 such that the sum of digits of each of these words

and,

constitutes ten consecutive terms of an arithmetic sequence in ascending order

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Re 4

12 13 14 7825 9855

13^4 – 12^4 = 7825

14^4 – 13^4 = 9855