Question

what is the fifth term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916

Answer 1

can u find the common ratio ?

Answer 2

if the common ratio is (r)
\[r = \frac{ a_{2} }{ a_{1} }\]

Answer 3

0.3

Answer 4

so.. if u multiplied the fifth term by the common ration what will u get ?

Answer 5

im trying to find the 5th

Answer 6

nope just thin the fifth term as a5
\[a_{5} \times r = a_{6}\]
u will get the sixth term if u multiply the fifth by the common ratio
got it ?

Answer 7

u know the value of
a_6 = 0.2916
and
r = 0.3
so...
\[a_{5} = \frac{ a_{6} }{ r}\]
\[a_{5} = \frac{ 0.2916 }{ 0.3 }\]
can u complete the rest ?

Answer 8

its 0.972

Answer 9

yep! thats the term u want !

Answer 10

thank you so much. :-)

Answer 11

u r welcome!