Scientists have discovered a vaccine for a debilitating disease. this year there were 570,000 reported new cases of the disease in the united states. research indicates, that with the new vaccination, new cases will decrease by two-thirds each year. how many new cases do you estimate in 6 years?

There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

Now,

First year =570000

Second year is given by

Third year is given by

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

a=570000

common ratio is given by

number of terms = 6

Sum of terms will be given by

We'll put this value in this formula,

So, there are approximately 853827 new cases in 6 years.

equal to

step-by-step explanation: