In the sequence

$$
1,4,7,10,13,16,19, \ldots
$$

each term is 3 less than the next term. Find the 1000th term of the sequence.
To get from the first term to the 1000th term, we must add three 999 times. That amounts to adding $3 \cdot 999$ which is 2997 . So the 1000 th term is $1+2997=2998$.