Question

Find the 58th term of the following arithmetic sequence.18,25,32,39

Answer 1

`\huge\boxed{417}`

Start with the formula for an arithmetic sequence, where
`a_n` is the
`n`th term of the sequence and
`d` is the common difference between terms.

`a_n=a_1+(n-1)d`

Find the difference between any two consecutive terms.

`25-18=7`

Substitute the known values into the formula.

`a_(58)=18+(58-1)7`

Subtract.

`a_(58)=18+57*7`

Multiply.

`a_(58)=18+399`

Add.

`a_(58)=\boxed{417}`