Question

Khalid wrote the sequence below.

Answer 1

ANSWER

The 10th term of the sequence can be found using the formula,

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

EXPLANATION

The first four terms of the geometric sequence were given as,

$(x-1),(-2x+2),(4x-4),(-8x+8)$

We can determine the common ratio using any two subsequent terms.

The common ratio is,
$r= \frac{ - 2x + 2}{x - 1}$

This implies that,
$r= \frac{ - 2(x - 1)}{x - 1} = - 2$

Also, the first term of the sequence is,

$a_1=x - 1$

The general term of the sequence is given by,

$a_n=a_1(r) ^{ n- 1}$

We substitute the first term, the common ratio and $n= 10$
in to the general term to get,

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

The correct answer is option A.

Answer 2

Formula A can help you find the 10th term.
I hope this Helps you