Find an equation for the nth term of the sequence.

-3, -12, -48, -192, ...

Question

Find an equation for the nth term of the sequence. 

-3, -12, -48, -192, ...

anonymous · Answer

@ganeshie8 @aaronq @Opcode

zepdrix · Answer

So what is the common ratio?
Looks like each term is the previous term multiplied by some value.

zepdrix · Answer

$$\Large\rm r=\frac{a_2}{a_1}$$
$$\Large\rm r=?$$

mathmath333 · Answer

$\large\rm its~~ geometric~~ progression~~ with~~ common~~ ratio(r) \

 \rm\large r=4~~ and ~~its ~~first ~~term(a)~~ is~~ -3                 $ 

$\rm \large ~~u ~~can~~ use ~~the ~~formula                  $ 

$\rm\large~~  nth~~ term= ~~ar^{(n-1)}$

mathmath333 · Answer

$\rm\large  r=\dfrac{-12}{-3}=\dfrac{-48}{-12}.....$