The 5th term of the G.P. 3, 6, 12, ... is

The 5th term of the G.P. 3, 6, 12, ... is

Explanation

The 5th term of the given geometric progression (G.P.) is 48. The sequence is 3, 6, 12, ...

The common ratio is 2 (6/3 = 2, 12/6 = 2).

Using the formula for the nth term of a G.P., a_n = a * r^(n-1),

where a is the first term and r is the common ratio, the 5th term (a_5) is 3 * 2^(5-1) = 3 * 2^4 = 3 * 16 = 48.