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Sagot :
1) We have the progression:
[tex]15,-14,13,-12,11[/tex]It seems that the absolute value is decreasing and one out of three terms have negative sign.
Then, we can continue the progression as:
[tex]15,-14,13,-12,11,10,-9,8[/tex]2) We have the progression:
[tex]2,5,9,14[/tex]We can calculate the difference between consecutive terms and see that it increases by one unit each step: 5-2=3, 9-5=4, 14-9=5.
Then the next term will be 6 units greater than 14.
Then 14+6=22.
The next term will be now 7 units greater than 22.
Then, 22+7=29.
The next term will be 8 units greater than 29, so 29+8=37.
We can write the sequence as:
[tex]2,5,9,14,22,29,37[/tex]Answer:
The next three terms are:
1) 10, -9, 8
2) 22, 29, 37
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