Question

7) Write a rule for the arithmetic or geometric sequence. Then find the

Answer 1

Answer:

This is geometric sequence.

$n^{th} \ term \ in \ geometric \ sequence \ a_{n} = a_{1} \cdot r^{n-1}$ ,

     $a_{1} \ is \ first \ term\\ r \ is \ the \ common \ divisor$

      $r = \frac{-48}{64} = \frac{3}{4}$

           $a_{7} = -64\ \cdot {\frac{3}{4} }^{7-1}\\\\a_{7} = -64\ \cdot {\frac{3}{4} }^{6}$= $\frac{-64* 3*3*3*3*3*3}{4*4*4*4*4*4} = \frac{-729}{64}$