Define a sequence where

a_{n} = the decimal expansion of e to n decimal places.

Find the first four terms of this sequence, starting with n = 1.

Ask your calculator for e or e^{1}. It probably shows you something like

2.71828183.

To get the n^{th} term of the sequence, we copy this down to n decimal places. So

a_{1} = 2.7

a_{2} = 2.71

a_{3} = 2.718

a_{4} = 2.7182

The first four terms are

2.7, 2.71, 2.718, 2.7182.