Concept explainers
To find:The explicit and recursive formulas for the geometric sequence formed by the amount of Fl-18 remaining.
Answer to Problem 34PPE
The explicit formula is
The recursive formula is
Explanation of Solution
Given information:When a radioactive substance decays, measurements of the amount remaining over constant intervals of time form a geometric sequence. The table shows the amount of Fl-18, remaining after different constant intervals.
Calculation:
The geometric sequence is
The first term
The explicit formula is given by,
Thus, the explicit formula is
The recursive formula is given by,
Thus, the recursive formula is
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