Question

Find the sixth term of a geometric sequence with t5 = 24 and t8 = 3.

Answer 1

each term is derived from the previous by multiplying by the common ratio r

so t8 / t5 = r^3

so what id r?

Answer 2

24/3 = r^3

Answer 3

8

Answer 4

r^3 = 8 not r

Answer 5

so do i devide by 3

Answer 6

no you find the cube root of 8

r^3 = r * r * r

Answer 7

what number when multiplied by itself 3 times = 8 ?

Answer 8

um like 2.6 maybe

Answer 9

2.6 * 2.6 * 2.6 = 17.58

Answer 10

- i think you are referring to the square root
we want the cube root

Answer 11

2.7?

Answer 12

no its 2

2*2*2 = 8

Answer 13

oh im dumb omg

Answer 14

sorry

Answer 15

lol - ok dont fret!!

Answer 16

- don't think you are the only one to make a kistake I've just realised I've made one right from the beginning!

Answer 17

i was thinking 2.7x3....its okay lol

Answer 18

t8 = 3 and t5 = 24

so r^3 = 3/24 not 24/3


so r = 1/8 not 8

Answer 19

ohhh so what do i do from here

Answer 20

ok so r = 1/2

now each term is derived from the last by multiplying by 1/2

so 5th term = 24 so 6th term = 24 * 1/2 = 12

Answer 21

* r^3 = 1/8 so r = 1/2

Answer 22

so how did we get the 1/2

Answer 23

6th term = 12

Answer 24

cube root of 1/8 is 1/2

Answer 25

okay and is their a way to find the cube rute on a calculater

Answer 26

1/2 * 1/2 * 1/2 = 1/8

Answer 27

yes with mine you have a power key which is ^
now cube root is the same as power 1/3

so I would enter 1/8 ^ 1/3

Answer 28

though some calculators have a cube root key

Answer 29

okay thanks..Find the three geometric means between 2 and 162. ........do u know how to do these kinds

Answer 30

if not it is okay u have helped me so much

Answer 31

lol I've forgotten how to do those ...

Answer 32

okay thanks anyways

Answer 33

if no one can help try google

Answer 34

yw