# Sequences and Series

### Problems

Problem : Define the arithmetic sequence a n = 4n - 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 = 2n + 6 ?

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

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