How to Calculate Population Size After Six Years with Growth Factor 3 in Mathematics

Initial population of 600 penguins triples in size each year for six years. Find size of population after six years

To find the size of the population after six years, we need to multiply the initial population by the growth factor for each year

To find the size of the population after six years, we need to multiply the initial population by the growth factor for each year.

Given that the population triples in size each year, the growth factor would be 3. This means that for each year, the population is multiplied by 3.

After the first year, the population would be 600 * 3 = 1800 penguins.
After the second year, the population would be 1800 * 3 = 5400 penguins.
After the third year, the population would be 5400 * 3 = 16200 penguins.
After the fourth year, the population would be 16200 * 3 = 48600 penguins.
After the fifth year, the population would be 48600 * 3 = 145800 penguins.
After the sixth year, the population would be 145800 * 3 = 437,400 penguins.

Therefore, the size of the population after six years is 437,400 penguins.

More Answers:

Recursive Formula | Calculating the Value of f(n) Using a Multiplicative Factor
The Geometric Sequence | Calculating the Sum of the First Eight Terms
How to Find the Sum of the First 30 Odd Natural Numbers using an Arithmetic Series Formula