# Sequences and Series

### Problems

Problem : What is the common ratio r in the geometric sequence .5, 1.5, 4.5, 13.5, 40.5,… ?

Problem : Define the geometric sequence a n = 2×3( n - 1) recursively.

Problem : Define the geometric sequence a 1 = 4 ; a n+1 = a n explicitly.

Problem : What is 53×2( n - 1) ?

Problem : What is the limit of the infinite series 2 + 1 + + + ... ?

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