What is the rule of the sequence: 5, -10, 20, -40? find the next three in the sequence

each term is -2 times the previous one.

Hahahbzhz

To find the rule of a sequence, we need to identify the pattern or relationship between the numbers in the sequence. Let's analyze the given sequence: 5, -10, 20, -40.

Looking at this sequence, we can observe that each term alternates between a positive and negative number. Additionally, the magnitude of each number seems to be doubling. This suggests that the rule of this sequence involves alternating signs and doubling.

To find the next three terms in the sequence, let's apply this rule:

1. The last term in the given sequence is -40. To maintain the pattern of alternating signs, the next term should be the double of -40, which is -80.
2. Applying the same rule, the subsequent term would be double the magnitude of -80, resulting in 160.
3. Finally, by doubling 160, we get 320 as the third term.

Therefore, the next three terms in the sequence are: -80, 160, 320.