Acertain species of fish has been declining in population by 7% per year. that means its rate of decay is 0.93. the population at time zero is 500,000.
what is the initial population?

The initial population would be 500,000.

Step-by-step explanation:

Let P be the initial population that is declining in population by 7% per year,

So, the population after t years is,

Since, if t = 0,

The population would be,

According to the question,

A = 500,000

Hence, the initial population would be 500,000.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for