Question

Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

Answer 1

Answer:

14th term is 16,384

Step-by-step explanation:

I. When $a_{n} = a_{1}(r^{n-1} )$

If n = 14, a = 2 and r = 2

         $a_{14} = 2(2^{14-1} )$

               = 2($2^{13}$)

         $a_{14}$      = 16,384