To find the nth term of a geometric sequence, we first need to identify the common ratio and the first term.
In this sequence, the first term (a) is 4. To find the common ratio (r), we divide the second term by the first term:
r = 8 / 4 = 2.
The general formula for the nth term of a geometric sequence is given by:
T(n) = a * r^(n-1)
Now, substituting the values of a and r into the formula:
T(n) = 4 * 2^(n-1)
Therefore, the nth term of the geometric sequence 4, 8, 16, 32 is:
T(n) = 4 * 2^(n-1)