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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)
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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)
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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
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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.