Note: The third term of the sequence should be
instead of
, otherwise the sequence has no common ratio.
Given:
The given sequence is

To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:

Similarly,


And,


Therefore, the common ratio of the given sequence is
or 0.75.
Answer:
B.
Step-by-step explanation:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Answer: 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.
$750000 for all 10 years and $375000 for just ten years