+1124 hi guys,
please help me and teach me PLEASE how to go about calculating the nth term formulas for these patterns.
T1 = 1
T2 = 1
T3 = 2
T4 = 3
T5 = 5
and for this one:
T1 = 1
T2 = 4
T3 = 16
T4 = 25
and the last one
T1 = 1
T2 = 8
T3 = 27
T4 = 64
T5 = 125
I have really tried them all...just cannot crack them...please help me with this...
1)
The first one is the Fibonacci sequence; Each new term is the SUM of previous two terms. So, next few terms are:
3 + 5 =8, 5 + 8 =13, 8 + 13 =21.......and so on.
2)
This one consists of the SQUARES of counting numbers:
1^2, 2^2, 3^2, 4^2, 5^2..........1, 4, 9, 16, 25........etc.
3)This one consists of the CUBES of counting numbers:
1^3, 2^3, 3^3, 4^3, 5^3..........1, 8, 27, 64, 125.......etc.
+1124 Hi guest,
i do appreciate your response, however my problem really is how to calculate for example the 10th term for each of these sequences. I struggle to put together a formula..
The 3rd sequence I gave, i finnaly got...it's just Tn = n^3
+118673 Hi Juriemagic,
It is good to see you again. 
T1 = 1
T2 = 1
T3 = 2
T4 = 3
T5 = 5
This is the fibonacci sequence.
I actually do not know how to express the nth term of this sequence in a nice neat way
Obviously
\(T_1=1\\ T_2=1\\ \text{Where n >2 and n is an integer}\\ T_n=T_{n-1}-T_{n-2}\)
I suspect you need somthing easier to use than that. Am I right or is that all you want?
+118673 and the 3rd one
T1 = 1
T2 = 8
T3 = 27
T4 = 64
T5 = 125
These are just cubic numbers. Can you do it yourself now?
The second sequence is just as easy.
I just takes practice, you will get the hang of these.
+1124 Hello sweet Melody!!!..
oops, won't say that again..., but I WANTED to....
The 1st sequence is Fibonacci yes, I googled on that but there does not seem to be a mathematical layterm solution for it,
The 2nd sequence is a problem,
T1 = n,
T2 = n^2
T3 = (n+1)^2
T4 = (n+1)^2
T5 = n^2
So, I cannot determine a nth term rule....say, for the 10th term?
The 3rd sequence I've got sorted....thank you sooo much for assisting...
+118673
hi again Juriemagic,
I am very flattered by your term of endearment. 
I expect a lot of people here would think you have a little sunstroke though. LOL.
I think you have a copy error in the original question
T1 = 1 =1^2
T2 = 4 =2^2
Ahr there is a mistake, I am pretty sure that T3 was supposed to be 9 = 3^2
T4 = 16 =4^2
T5=25 =5^2
Tn = n^2
+1124 
Thank you Melody...I'm sure it must have been a pelling error. .....spelling error...lol....Stay well untill next time!
