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sequense 10, -5, 25, -35, 85, -155

Sagot :

To identify the sequence pattern, let's analyze the differences between consecutive terms:

1. ( -5 - 10 = -15 )

2. ( 25 - (-5) = 30 )

3. ( -35 - 25 = -60 )

4. ( 85 - (-35) = 120 )

5. ( -155 - 85 = -240 )

The differences between the terms are: -15, 30, -60, 120, -240.

It seems that each difference is multiplied by -2 to get the next difference:

1. ( -15 (-2) = 30 )

2. ( 30 (-2) = -60 )

3. ( -60 (-2) = 120 )

4. ( 120 (-2) = -240 )

Following this pattern, the next difference should be ( -240 (-2) = 480 ).

To find the next term in the sequence, we add 480 to the last term (-155):

-155 + 480 = 325

So, the next term in the sequence is 325.