6 + 62 + ... + 610
= (6+62) + ( 63+64) + ... + ( 69 + 610 )
= 6(1+6) + 63(1+6)+...+69(1+6)
= 6.7 + 63 .7 +...+69.7
= 7.(6+63+...+69)
chia hết cho 7
=6.(1+6)+6^3.(1+6)+........+6^9.(1+6)
=6.7+6^3.7+..........+6^9.7
=(6+6^3+........+6^9).7
Suy ra chia hết cho 7