Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence.

-5, 10, -20, 40,_,_,_

Respuesta :

Answer:

The next 2 items would be -80 and 160

The complete series is -5, 10, -20, 40, -80, 160, -320 and this can be determined by using the geometric progression.

Given :

-5, 10, -20, 40,...

The following steps can be used in order to determine the next item in the sequence:

Step 1 - The given sequence is in the geometric progression.

Step 2 - Write the given series.

-5, 10, -20, 40,...

Step 3 - The next term in the given sequence is:

= - 40 [tex]\times[/tex] 2

= - 80

Step 4 - After the above term the term obtained is:

= [tex]80\times 2[/tex]

= 160

Step 5 - After the above term the term obtained is:

= [tex]-160\times 2[/tex]

= -320

For more information, refer to the link given below:

https://brainly.com/question/14320920