Question

2. Evaluate the geometric series given a = -120, r = 0.5 and n = 6

Answer 1

Answer:

Step-by-step explanation:

$S_{6}=-120\frac{1-(0.5)^6}{1-0.5}$

$=-120\frac{1-(\frac{1}{2})^6 }{1-\frac{1}{2} } \\=-120\frac{1-\frac{1}{64} }{\frac{1}{2} } \\=-240*\frac{63}{64} \\=-15*\frac{63}{4} \\=-\frac{945}{4}\\=-236.25$