What is the 8^th term of the G.P. 3, 6, 12, 24, …?

Concept use:

A geometric progression (G.P.) is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Tn = ar^(n-1) , where n is the position of the term.

​Calculations:

We want to find the 8th term, so we substitute n = 8, a = 3, and r = 2 into the formula:

T8 = 3 × 2^(8-1) = 3 ×  2⁷ = 3 × 128 = 384.

Therefore, the 8th term of the given geometric progression is 384.

Hence, option 3 is Correct.