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

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3 Answers

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

r = 12/3 = 4, the common ratio

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

 

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.