1. ## Limit/Sequence

What would be the limit?

an = -5 + (-2/3)^n

Also, for the sequence, 1/2,1/4,1/8

would the formula be 1/2^(n-1)

And, 1/2,1/4,1/6

would the formula be 1/2^n ?

2. Originally Posted by ch2kb0x
What would be the limit?

an = -5 + (-2/3)^n

Also, for the sequence, 1/2,1/4,1/8

would the formula be 1/2^(n-1)

And, 1/2,1/4,1/6

would the formula be 1/2^n ?
$\lim_{n \to \infty}(-5+ \underbrace{\left( \frac{-2}{3}\right)^n)}_{r<1,r^n \to 0}=-5+0=-5$

The 2nd would be $a_n=\frac{1}{2n}$

3. Ohh ok, thanks

Well what would the formula be if it started at 1/2 as stated.

4. Originally Posted by ch2kb0x
Ohh ok, thanks

Well what would the formula be if it started at 1/2 as stated.
$a_n=\left( \frac{1}{2}\right)^n$ for n = 1