Respuesta :
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
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https://brainly.com/question/14320920