Question

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

Answer 1

Explanation:

`2+1+(1)/(2) +(1)/(4) +....\\r=(1)/(2) \\S_(6)=2(1-((1)/(2))^6 )/(1-(1)/(2) ) \\=4(1-(1)/(64) )\\=4*(63)/(64) \\=(63)/(16) \\=3(15)/(16)`