escorfvolinkcamieh escorfvolinkcamieh

13-10-2016
Mathematics

Answered

Find the 15th term in the geometric sequence below.

20, 10, 5, 2.5, . . .

A.-25/4,096

B.-5/4,096

C.5/4,096

D.25/4,096

Verified Answer :

apologiabiology apologiabiology

14-10-2016

geo sequence
\(a_n=a_1r^{n-1}\)
an=nth term
a1=first term
r=common ratio
n=which term

10/20=1/2
r=1/2
20=a1

\(a_{15}=20(1/2)^{15-1}\)=
\(a_{15}=20(1/2)^{14}\)=
\(a_{15}=20( \frac{1}{16384} )\)=
\(a_{15}= \frac{20}{16384}\)=
\(a_{15}= \frac{5}{4096}\)

C is answer

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