I'm going to test you (deff not for my hw) the next term in these sequences:
1,1,2,3,5,8,
26,24,21,17,

The first sequence, it is increase +1 for every number, because 2-3 is 1, 3 - 5 is 2, and 5 - 8 is 3. So, lets add 4 to 8, and we will know the next number of the sequence.

4 + 8 = 12

So, the next number in the first sequence is:

1, 1, 2, 3, 5, 8, 12

Second Sequence:

The second equation is doing exactly the same thing (it increases by 1 every number it goes) just this one is decreasing.

Proof: 26 - 24 is 2, 24 - 21 is 3, and 21 - 17 is 4.

Lets subtract 5 to 17 to know the next number.

17 - 5 = 12

So our next number is:

26, 24, 21, 17, 12

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