A pair of immature mice got loose in the basement. It takes mice 1 month to mature and another month to produce a new pair of mice. They will continue to produce a new pair of mice each month. The new pairs of mice grow and reproduce at the same rate. If no mice die, how many pairs will there be after a year? Also, the original pairs of mice can produce new pairs of mice again after previously doing so.
Answers
Answer:
233 Pairs will be there after an year
Step-by-step explanation:
Initially A pair of Mice - Unamtured
After 1 Month = 1 Pair of Mice - Matured
After 2 Month = 1 Matured Pair + 1 Unmatured Pair
After 3 Months = 2 Matured Pair + 1 Unmatured Pair
After 4 months = 3 Matured Pair + 2 Unmatured Pair
After 5 months = 5 Matured Pair + 3 Unmatured Pair
After 6 months = 8 Matured Pair + 5 Unmatured Pair
After 7 months = 13 Matured Pair + 8 Unmatured Pair
After 8 months = 21 Matured Pair + 13 Unmatured Pair
After 9 months = 34 Matured Pair + 21 Unmatured Pair
After 10 months = 55 Matured Pair + 34 Unmatured Pair
After 11 months = 89 Matured Pair + 55 Unmatured Pair
After 12 months = 144 Matured Pair + 89 Unmatured Pair
144 + 89 = 233 Pairs will be there after an year
Answer:
233 pairs
Step-by-step explanation:
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