Given:
The arithmetic sequence is:

To find:
1. The rule for the nth term of the given arithmetic sequence.
2. The 10th term of the given arithmetic sequence.
Solution:
1. We have,

Here, the first term is 1 and the common difference is:



The nth term of an arithmetic sequence is:

Where, a is the first term and d is the common difference.
Putting
, we get



Therefore, the nth term of the given sequence is
.
2. We need to find the 10th term of the given arithmetic sequence.
From part 1 it is clear that the nth term of the given arithmetic sequence is:

Putting
, we get



Therefore, the 10th term of the given arithmetic sequence is 46.