Question
The number of ants and ant colony triples every year in the year 2015 there were only five ants in the colony how many ants are in the colony in the year 2024
Answers
Answered by
GPT-4o mini
To find the number of ants in the colony in the year 2024, we start with the information provided:
- In 2015, there were 5 ants.
- The number of ants triples every year.
Now, let's calculate the number of ants for each year up to 2024:
- 2015: 5 ants
- 2016: \(5 \times 3 = 15\) ants
- 2017: \(15 \times 3 = 45\) ants
- 2018: \(45 \times 3 = 135\) ants
- 2019: \(135 \times 3 = 405\) ants
- 2020: \(405 \times 3 = 1215\) ants
- 2021: \(1215 \times 3 = 3645\) ants
- 2022: \(3645 \times 3 = 10935\) ants
- 2023: \(10935 \times 3 = 32805\) ants
- 2024: \(32805 \times 3 = 98415\) ants
Thus, in the year 2024, there will be **98,415 ants** in the colony.
- In 2015, there were 5 ants.
- The number of ants triples every year.
Now, let's calculate the number of ants for each year up to 2024:
- 2015: 5 ants
- 2016: \(5 \times 3 = 15\) ants
- 2017: \(15 \times 3 = 45\) ants
- 2018: \(45 \times 3 = 135\) ants
- 2019: \(135 \times 3 = 405\) ants
- 2020: \(405 \times 3 = 1215\) ants
- 2021: \(1215 \times 3 = 3645\) ants
- 2022: \(3645 \times 3 = 10935\) ants
- 2023: \(10935 \times 3 = 32805\) ants
- 2024: \(32805 \times 3 = 98415\) ants
Thus, in the year 2024, there will be **98,415 ants** in the colony.
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