A geometric sequence begins

1. Find the position of the first term in the sequence which is larger than

   $$100,000$$

2. Find smallest number of terms required for the sum

   $$2+6+18+\dots$$

   to exceed

   $$1,000,000$$

The $n^{\text{th}}$ term of a geometric sequence is given by

You need to find the smallest $n\in \mathbb{N}$ satisfying