# Thread: Nth Term

1. ## Nth Term

Given this sequence: 9,99,999 (etc)

Find the nth term :/

It looks so simple yet I just can't think of how to solve this.

Pretty sure it's not going to be quadratic or anything along those lines...

2. Originally Posted by Mukilab
Given this sequence: 9,99,999 (etc)

Find the nth term
Where are you stuck? For n = 1, you have 9; for n = 2, you have 99, for n = 3, you have 999.

Originally Posted by Mukilab
Pretty sure it's not going to be quadratic or anything along those lines...
Why would the n-th term be a quadratic polynomial, instead of n 9's in a row? Or are you saying that you are supposed to find a formula for the n-th term?

3. Sorry, yes, the nth term

argh not again.

The FORMULA for the nth term :P

4. Originally Posted by Mukilab
Given this sequence: 9,99,999 (etc)

Find the nth term :/

It looks so simple yet I just can't think of how to solve this.

Pretty sure it's not going to be quadratic or anything along those lines...
can you find nth term for

10,100,1000,10000, ...

what is the relation between mine and your if you find nth term for mine it is easy to find yours

5. Originally Posted by Amer
can you find nth term for

10,100,1000,10000, ...

what is the relation between mine and your if you find nth term for mine it is easy to find yours
if I could find the nth term for yours I wouldn't be posting here would I?

6. second term is the first multiplied with 10 and third is the second multiplied by 10 etc

$\displaystyle 10,10^2,10^3, ...$

the n-th term

$\displaystyle 10^n$

yours

$\displaystyle 10^n -1$