Question

Find an equation for the nth term of the sequence.

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

Answer 1

@ganeshie8 @aaronq @Opcode

Answer 2

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

Answer 3

\[\Large\rm r=\frac{a_2}{a_1}\]
\[\Large\rm r=?\]

Answer 4

\(\large\rm its~~ geometric~~ progression~~ with~~ common~~ ratio(r) \\

\rm\large r=4~~ and ~~its ~~first ~~term(a)~~ is~~ -3 \)

\(\rm \large ~~u ~~can~~ use ~~the ~~formula \)

\(\rm\large~~ nth~~ term= ~~ar^{(n-1)}\)

Answer 5

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