Question

Asap help answer ---------

Answer 1

`C(n)=30-20n`

Explanation:

Arithmetic sequence given in the question is,

10, -10, -30, -50........

Explicit formula of an Arithmetic sequence is given by,

`C(n)=C(1)+(n-1)d`

Here,
`C_1=` First term

`n=` number of terms

`d=` common difference

From the given sequence,

`C(1)=10`

`d=-10-10`

`=-20`

Substitute the values in the formula,

`C(n)=10+(n-1)(-20)`

`C(n)=10-20n+20`

`C(n)=30-20n`