Final answer:
The 30th term of the geometric sequence with a first term of 2000 and a common ratio of 1/10 can be calculated using the formula Tn = a1 × r^(n-1); hence T30 = 2000 × (1/10)^29.
Step-by-step explanation:
To find the 30th term of the geometric sequence, we can use the formula for the nth term of a geometric sequence, which is Tn = a1 × r(n-1), where Tn is the nth term, a1 is the first term, and r is the common ratio.
In this case, the first term a1 is given as 2000 and the common ratio r is 1/10. To find the 30th term (T30), we plug these values into the formula.
So, the 30th term would be T30 = 2000 × (1/10)29. Calculating this value will give the 30th term of the sequence.
It's important to note that the information provided related to the quadratic formula is irrelevant to solving for the 30th term of a geometric sequence, as we are not solving a quadratic equation.