# 50 terms are bad enough, but this?!?!

Level pending

The sequence: $$x,10x+7,10(10x+7)+7,10(10(10x+7)+7)+7,....$$ $$1<x<9$$

Where each term, after the first, is $$7$$ more than $$10$$ times the previous term. For what value of $$x$$ will the $$50th$$ term be a multiple of $$9$$?

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