cool5944 cool5944
  • 23-02-2019
  • Mathematics
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Find an explicit formula h(n).
Please help fast

Find an explicit formula hn Please help fast class=

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LammettHash
LammettHash LammettHash
  • 23-02-2019

According to the given rule, [tex]h(n)=h(n-1)-10[/tex], we get

[tex]h(2)=h(1)-10=-75-10[/tex]

[tex]h(3)=h(2)-10=-75-2\cdot10[/tex]

[tex]h(4)=h(3)-10=-75-3\cdot10[/tex]

and so on, with the general pattern

[tex]h(n)=h(n-1)-10=h(n-2)-2\cdot10=\cdots=h(1)-(n-1)\cdot10=-75-10(n-1)[/tex]

or more simply,

[tex]h(n)=-65-10n[/tex]

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