Question

Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14 +

Answer 1

Answer:

Step-by-step explanation:

$2+1+\frac{1}{2} +\frac{1}{4} +....\\r=\frac{1}{2} \\S_{6}=2\frac{1-(\frac{1}{2})^6 }{1-\frac{1}{2} } \\=4(1-\frac{1}{64} )\\=4*\frac{63}{64} \\=\frac{63}{16} \\=3\frac{15}{16}$