Question

Find the general terms of the following sequences. (There are more than one possible solution.)
(a) 4^(3), 6^(3), 8^(3), 10^(3)
(b) -3,3,-3,3
(c) 3/2,4/3,5/4,6/5
(d) 1/4,4/9,9/16,16/25

Answer 1

do you know how to do this?
what i'm asking is, how much do I need to explain?

Answer 2

i don't know part b. how to get the answer?

Answer 3

look at what happens each time

Answer 4

times -1 ?

Answer 5

yes. now factor out the three.

Answer 6

3(-1)

Answer 7

like this?

Answer 8

and what can you raise the -1 to to make it flip each time?

Answer 9

n times?

Answer 10

ah

Answer 11

?

Answer 12

you on b?

Answer 13

yup

Answer 14

okay so basically its going negative and positive

Answer 15

go on

Answer 16

can you think of a way to alternate between negative and positive

Answer 17

sorry I was off for a bit, yes, you raise it to the n.

Answer 18

or the answer comes to you >_>

Answer 19

kryton, you're right (-1)^n makes the sign flip each time

Answer 20

T(n)=3(-1)^(n)?

Answer 21

yes, you got it

Answer 22

and c?

Answer 23

look at the numerator and denominator separately

Answer 24

+1?

Answer 25

each time, yes

Answer 26

and...?

Answer 27

come up with general formulas for the top and bottom separately

Answer 28

then the final answer is

the formula for the top
--------------------
the formula for the bottom

Answer 29

both are +1, aren't they?

Answer 30

but they have different starting points

Answer 31

ohh...
n+2 / n+1 ?

Answer 32

the most difficult one, i think..

Answer 33

yes, if the first term is n=1

Answer 34

and d?

Answer 35

again, separate the top and bottom

Answer 36

ahh!!!
(n/n+1)^(2)??

Answer 37

YES!!!

Answer 38

good job!

Answer 39

any other questions?

Answer 40

yes, maybe i post the questions in different posts

Answer 41

ok