Question

The 5th term in a geometric sequence is 140. The 7th term is 35. What are the possible values of the 6th term of the sequence?

Answer 1

ar^4=140
ar^6=35
r^2=35/140

Answer 2

Alternate method :
\(a_6\)
will be the geometric mean between a5 and a7

so, you can simply do
\(\large a_6 ^2 = a_5\times a_7\)
take square root and don't forget to consider the negative root too

Answer 3

So it would be \[\pm70\]

Answer 4

correct! :)

Answer 5

OMG thanks hartnn :)

Answer 6

did i ever give you this ?
http://openstudy.com/study#/updates/503bb2a0e4b007f9003103b0

might be helpful to you now...

Answer 7

MY goodness its like a candy shop o.o thanks ^_^