Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
1 answer:
Answer:
B. This is a geometric sequence.
Step-by-step explanation:
The problem states that Wanahton treated water containing 900 grams of impurities. Every hour, one-third of these impurities is removed.
After each hour, the remaining impurities reduce to two-thirds of what was present the previous hour since one-third has been eliminated.
As the total is not constant, it thus forms a geometric sequence.
The explicit formula for a geometric sequence can be expressed in the format , where
a = First term,
r = Common ratio.
In our particular case, and
, leading us to the required formula:
Consequently, the explicit formula for this geometric sequence is .
You might be interested in
Solution:
Refer to the detailed explanation
Step-by-step process:
1 step: - provided
2 step: - Segments Addition Postulate
3 step: - Substitution Property
4 step: - Segments Addition Postulate
5 step: - Substitution Property
6 step: - provided
7 step: - Property of Substitution Equality
8 step: - Equality Subtraction Property