## Calculus, 10th Edition (Anton)

first five terms: $2,2,2,2,2$ converges to $2$
To find the first five terms of the sequence, put the values $1,2,3,4,5$ into the function $a_n=2$. To find if the sequence converges, find the limit as n approaches positive infinity. This leaves $$\lim\limits_{n \to \infty} 2$$ This is 2. Therefore, the sequence converges to 2.