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write the formula for the geometric sequence 3,12,48,193,...

This is a exponents problem that i need help with.

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Mike C. | Enthusiastic Tutor for Middle and High School StudentsEnthusiastic Tutor for Middle and High S...
4.8 4.8 (82 lesson ratings) (82)

Your fourth term is 192, no? In that case the formula is 3*4^(n-1), where n is the term number.

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)

r = 12/3 = 4, the common ratio

So, the nth term t(n) = t(0) r^(n-1) = 3 (4)^(n-1) <==Answer


Robert T. | Mathematics TutorMathematics Tutor

This is called a geometric sequence because there is a constant multiplier of 4. If you use b(m)^n where b is the term that would come BEFORE the 1st term, and m is the constant MULTIPLIER, you get (3/4)4^n.