How do you find the 20th term of the pattern 3 6 12 24?

The pattern given is a geometric sequence where each term is multiplied by 2 to get the next term. To find the 20th term, we can use the formula for the nth term of a geometric sequence: ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term (3) and ( r ) is the common ratio (2). Thus, the 20th term is calculated as ( a_{20} = 3 \cdot 2^{19} ). Evaluating this gives ( a_{20} = 3 \cdot 524288 = 1572864 ).