Question

Find the rule for the nth term :
2, -4, 8, -16

Thanks :)

Answer 1

Just divide the second term with first one:

\[\frac{-4}{2} = -2\]

Answer 2

So, every term is being multiplied by -2 there...

Answer 3

So, this is a Geometric Progression or Sequence...

Answer 4

So, nth or general term of a GP, you can find by using:

\[\large \color{green}{a_n = a \cdot r^{n-1}}\]

Answer 5

Here :

\(a = 2\) and \(r = -2\)..

Answer 6

Now find \(\huge a_n\)..