Question

Sequence/recurrence relation. Find the value of t(5) if t(n+1) = 3t(n) + 2. Note the numerals in brackets are supposed to be little underneath numbers.

Answer 1

\[t _{(n+1)}=3t _{(n)}+2\]

Answer 2

?

Answer 3

oh wait I can write it now with equation

Answer 4

but how you you do it?

Answer 5

do the problem or write out the equation?

Answer 6

Do the problem. I don't get it really.

Answer 7

i was first seeing if what i typed is how the problem looks like, is it correct? ^^^

Answer 8

\[t _{5}\]

Answer 9

yes that is right. That is the problem. It is a sequence equation.

Answer 10

ok

Answer 11

so what is \[t _{5}\]?

Answer 12

Shouldn't \[t_{5}\] be 14? But he answer says no.

Answer 13

that is the term. if \[t _{0}\] is the first term, \[t _{5}\] should be the sixth term

Answer 14

Oh sorry \[t _{1}=1\]

Answer 15

ok

Answer 16

you're suppose to get an answer without variable t?

Answer 17

\[t _{1} = 1\] Yeah I don't really get it. I think t is just really like the bit under the t.

Answer 18

can you upload an image of the question?

Answer 19

Not really capable. But that is all the question really says, excpet there is a whole tutorial section right before it, trouble is I don't understand it. There is an example kind of like this:
if the rule is \[t _{1}= 1 and t _{k+1} = 2t _{k}\]
then
\[t _{1}=1, t _{2} = 2t _{1}= 2, t _{3}= 2t _{2}=\]4

Answer 20

so \[t _{5} should be 4t _{4}\]

Answer 21

why? I don't know. The answer is supposed to be 161

Answer 22

so the first thing to do is find what \[t _{_{(n+1)}} is....t _{(5+1)}=?\]

Answer 23

i was following the logic from your tutorial, it's set up the same way

Answer 24

\[3t _{4} + 2\]

Answer 25

no we're both wrong it's \[2t _{3}\]

Answer 26

+2

Answer 27

if you want to see step by step,\[t _{1}=1\]
\[t _{2}=2t _{1}=2 t _{1}=1\]
so just plug 1 in which would make it 2*1

Answer 28

\[t _{3}=2t _{2}=4\]
\[t _{4}=2t _{3}=8\]
\[t _{5}=2t _{4}=16\]

Answer 29

note that i didn't +2 in any one them...i just realized

Answer 30

but just follow the same logic

Answer 31

I'm getting there lol thankyou for the help!

Answer 32

np

Answer 33

t(1)=1
t(2)=3t(1)+2=5
t(3)=3t(2)+2=17
t(4)=3t(3)+2=53
t(5)=3t(4)+2=161

Answer 34

thanks mathmate.

I have now understanding of this.

Answer 35

Good! Glad to be of help!