OFFICIAL 55 FIVE

55 five55 Come, all you who are thirsty, come to the waters; and you who have no money, come, buy and eat! Come, buy wine and milk without money and without cost.$5+55+555+5555+55555+cdots n$ terms, Sum of finite seqence of this pattern can be obtained by re-arranging this into geometric sequence. $5$ should be taken common