Find an explicit formula h(n).
Please help fast

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]