mSoph1gdhBrookiean mSoph1gdhBrookiean
  • 25-05-2017
  • Mathematics
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Read the numbers and decide what the next number should be. 256 196 144 100 64 36 16

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calculista
calculista calculista
  • 11-01-2019

Answer:

The next number is [tex]4[/tex]

Step-by-step explanation:

we have

[tex]256, 196, 144, 100, 64, 36, 16,...x[/tex]

we know that

[tex]256-196=60[/tex]

[tex]196-144=52=60-8[/tex]

[tex]144-100=44=52-8[/tex]

[tex]100-64=36=44-8[/tex]

[tex]64-36=28=36-8[/tex]

[tex]36-16=20=28-8[/tex]

therefore

The next number is equal to

[tex]16-x=20-8[/tex] ------> solve for x

[tex]16-x=12[/tex]

[tex]x=16-12=4[/tex]

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