Question

Find a11 in an arithmetic sequence where a1 = −5 and d = 4

Answer 1

35

Explanation:

we know that,

formula of arithmatic sequence is a+(n-1)d.

a11=a+(n-1)d

a11=-5+(11-1)4

a11=-5+10*4

a11=-5+40

a11=35.

The arithmatic sequence of a11=35.

Thank you

Answer 2

`a_(11) = 45`

Explanation:

An arithmetic sequence can be defined by an explicit formula in which ,
`a_n = a_1 + d(n-1)`, where d is the common difference between consecutive terms.

Plugging in
`a_1\\` as 5,
`d` as 4, and
`n` as 11, we get the equation
`a_n = 5 + 4(11-1)`.
`11-1=10`, and
`4` ×
`10\\`
`=40\\`, and finally
`40 + 5 = 45`.

Thus,
`a_(11) = 45`.