To find the nth term of the sequence 24, 12, 6, 3, 1.5, we can observe that each term is obtained by dividing the previous term by 2. This sequence is a geometric progression with a common ratio of 1/2.
The general formula for the nth term of a geometric sequence is:
\[a_n = a_1 * r^(n-1)\]
Where:
- \(a_n\) is the nth term.
- \(a_1\) is the first term.
- \(r\) is the common ratio.
- \(n\) is the position of the term in the sequence.
In this case, the first term \(a_1\) is 24, and the common ratio \(r\) is 1/2.
So, to find the nth term:
\[a_n = 24 * (1/2)^(n-1)\]
Now, you can calculate the nth term for any value of n.