find the two geometric means between 3 and 768

Answer:12 48 192Step-by-step explanation:The sequence is 3, x_{1}, x_{2}, x_{3}, 768The formula for the geometric mean between two numbers a and b is given by {a / b}The total number of terms is 5, so the common ratio r can be found using the formula r = \[4]{768}{3}}Calculate {768}{3} = 256Find r =[4]{256} = 4Now, calculate the geometric means:x_{1} = 3 \ r = 3/ 4 = 12x_{2} = x_{1} \ r = 12 \ 4 = 48x_{3} = x_{2} \ r = 48 \ 4 = 192

Answered by arnfel | 2024-10-18