Question

I NEED HELP PLEASE!

Answer 1

The given sequence is x-1, -2x+2, 4x-4, -8x+8 .

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = $\frac{a_{2}}{a_{1}}$

= $\frac{-2x+1}{x-1}$

= $\frac{-2(x-1)}{(x-1)}$Take out -2 as common factor

= -2 Cancel out x - 1.

The formula for general term of a geometric sequence is,

$a_{n} =a_{1} r^{n-1}$

Where, first term: $a_{1} =x-1$

We need to find the 10th term of this sequence. So, n = 10.

Next step is to plug in these values in the above formula to get the 10th term. Hence,

$a_{10} = (x -1)(-2)^{10-1}$

So, A is the correct choice.