Use the method of successive differences to determine the next term in the 9, 24, 44, 69, 99

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30-05-2017
Mathematics

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Use the method of successive differences to determine the next term in the 9, 24, 44, 69, 99

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LammettHash LammettHash · Answer 1 · 2017-05-30T20:30:31+02:00

LammettHash LammettHash

30-05-2017

[tex]24-9=15[/tex]
[tex]44-24=20[/tex]
[tex]69-44=25[/tex]
[tex]99-69=30[/tex]

If the pattern continues, then the expected difference between the current last term and the next one would be 35, which means the next term [tex]x[/tex] satisfies

[tex]x-99=35\implies x=99+35=134[/tex]

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