Answer:
an = 6 * 2^(n-1)
Explanation:
To find the general term of the sequence 6, 12, 24, 48, ... , we need to observe that each term is obtained by multiplying the previous term by 2. Therefore, the sequence is a geometric sequence with first term a = 6 and common ratio r = 2.
The formula for the nth term of a geometric sequence is:
an = a * r^(n-1)
Substituting a = 6 and r = 2, we get:
an = 6 * 2^(n-1)
Therefore, the general term of the sequence 6, 12, 24, 48, ... is given by the formula an = 6 * 2^(n-1).