Question

Write an equation for the nth term of the geometric sequence 3584, 896, 224... Find the sixth term of this sequence

Answer 1

Answer:

Step-by-step explanation:

r = $\frac{a_n}{a_{n-1}} = \frac{896}{3584} =  \frac{1}{4}$

Using the geometric series formula for the nth term:

$S_n = a \cdot \frac{1-r^n}{1-r} => S_{6} = 3584 \cdot \frac{1 - (\frac{1}{4})^{6} }{1 - \frac{1}{4} }  = 4777\frac{1}{2}$