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Since the tree frog population doubles every two weeks, we can calculate how many times the population will double in three months (4 weeks/month x 3 months = 12 weeks).
In 12 weeks, the population will double 6 times (12 weeks ÷ 2 weeks/doubling = 6 doublings).
Starting with 10 tree frogs, the population will be:
Week 1: 10 x 2 = 20
Week 2: 20 x 2 = 40
Week 3: 40 x 2 = 80
Week 4: 80 x 2 = 160
Week 5: 160 x 2 = 320
Week 6: 320 x 2 = 640
Therefore, in 3 months there will be 640 tree frogs in your backyard.