Question

The following sequence is geometric. What is the next term?
729, 243, 81, 27 ...

Answer 1

find the common ratio

Answer 2

r = 27/81 = 1/3

Answer 3

to find next term,

multiply current term 27 with "r"

Answer 4

27 * \(\frac{1}{3}\)

= ?

Answer 5

um... i got lost alittle

Answer 6

oops - sorry @XHUHX I misread this question - it is NOT the same at all - please forgive me :(

Answer 7

no problem

Answer 8

thx :) - as a penance I can try and help on this one? :)

Answer 9

alright thanks

Answer 10

unless @ganeshie8 wants to continue here - I don't want to step on his/her shoes?

Answer 11

ok

Answer 12

:) ok

Answer 13

ok XHUHX - where exactly are you stuck here?

Answer 14

i couldnt find the commone ratio

Answer 15

image the terms of the series were: \(a_1, a_2, a_3, ..., a_n\), then the common ratio is found by dividing any term (except the first term) with it's previous term.

Answer 16

so in the series I gave, you could get the common ratio in ANY of the following ways:\[\frac{a_2}{a_1}\text{ OR }\frac{a_3}{a_2}\text{ OR }\frac{a_4}{a_3}\text{ OR }...\frac{a_n}{a_{n-1}}\]

Answer 17

all those should give the SAME answer.

does that make sense?

Answer 18

would the numbers go in a2/a1?

Answer 19

in your case, the series is: 729, 243, 81, 27, ...

so the common ratio can be found from ANY of these ratios:\[\frac{243}{729}\text{ OR }\frac{81}{243}\text{ OR }\frac{27}{81}\]