
               ### Instruction: help me answer this question Find the 12th term of a G.P. whose 8th term is 192, and the common ratio is 2., think step by step
               ### Assistant: We are given that the 8th term of the sequence is 192 and the common ratio is 2. We first find the first term, a, using the equation a8 = a * r^7 = 192 and then find the 12th term using the formula a_n = a * r^(n-1). , The answer is The 12th term of the G.P. is given by: 
a12 = a * r^(12-8) = a * r^4 = 192 * 2^4 = 12288
