Relate separated arithmetic terms to a geometric progression

The second, fifth and tenth terms of an arithmetic progression with nonzero common difference are the first three terms of a geometric progression.

(i) Find the common ratio.3 marks

(ii) The first terms of the AP and GP are $7$ and $9$. Find the least n for which the GP’s n-th term exceeds the AP’s n-th term by at least $1000$.3 marks