Match each equation to the situation it represents.
Situation
Equation

Match each equation to the situation it represents. Situation Equation

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Ответ:

whatnowb

30.08.2022

Mathematics

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.

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