# Sequences word problems

Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
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### Problem

Fenyang got 6 rabbits to raise on his farm. From the following month forward, the rabbit population doubled every month.
Let n be a positive integer, and let g, left parenthesis, n, right parenthesis denote the number of rabbits in Fenyang's farm in the n, start superscript, t, h, end superscript month since he got the rabbits.
The expression g, left parenthesis, n, right parenthesis defines a sequence. What kind of sequence is g, left parenthesis, n, right parenthesis?
Please choose from one of the following options.
Depending on your answer to the question above, the recursive definition of the sequence can have one of the two following forms:
ArithmeticGeometric
What are the values of the parameters A and B for this sequence?
space, A, equals, space
space, B, equals, space