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A colony of bats is counted every two months. The first four counts are 1200, 1800, 2700, and 4050. If this growth rate continues, 1.

A colony of bats is counted every two months. The first four counts are 1200, 1800, 2700, and 4050. If this growth rate continues,
1. What is the recurrence relation of the bat population?
2. Solve the recurrence relation.
3. How many bats are there at the 111th count?

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