Question

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

Answer 1

According to the given rule,
`h(n)=h(n-1)-10`, we get

`h(2)=h(1)-10=-75-10`

`h(3)=h(2)-10=-75-2\cdot10`

`h(4)=h(3)-10=-75-3\cdot10`

and so on, with the general pattern

`h(n)=h(n-1)-10=h(n-2)-2\cdot10=\cdots=h(1)-(n-1)\cdot10=-75-10(n-1)`

or more simply,

`h(n)=-65-10n`