**Problem : **
Define the arithmetic sequence
*a*
_{n} = 4*n* - 3
recursively.

**Problem : **
Define the arithmetic sequence
*a*
_{1} = 6
;
*a*
_{n+1} = *a*
_{n} - 2
explicitly.

**Problem : **
What is the sum of the first six terms of the sequence
*a*
_{n} = 2*n* + 6
?

**Problem : **
What is the sum of the first 45 terms in the arithmetic sequence
*a*
_{1} = 3
;
*a*
_{n+1} = *a*
_{n} + 5
?