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1.5, 4.5, 13.5, 40.5 ... What is the seventh term in the sequence?

Sagot :

This is a GEOMETRIC SEQUENCE...

take note they have a common ratio of 3...

                4.5/1.5 = 3
              13.5/4.5 = 3
            40.5/13.5 = 3

From the FORMULA of Geometric sequence:

         a(subscript n) = a₁(r)^n-1   

                 where r = common ratio........3 in this case
                          n = nth term ..............5 in this case

         a5 = (1.5)(3)^5-1
             = (1.5)(3)^4
            = (1.5)(81)
       a5  = 121.5 .................ANSWER