Question

How do i find the tenth term if the first term is 12 and common difference is 3?

Answer 1

`a_(10)=39`

Explanation:

`"for an "color(blue)"arithmetic sequence"`

`"the nth term is "`

`•color(white)(x)a_n=a+(n-1)d`

`"where a is the first term and d the common difference"`

`rArra_(10)=12+(9xx3)=12+27=39`

Answer 2

The `n^(th)` term of an Arithmetic Progression is given by,
`a_n = a + (n-1)d`

For the `10^(th)` term, with the given details,
`n=10 ; a=12; d=3`

`a_10 = 12 + (9)3`
`a_10 = 12 + 27`
`a_10 =39`

So, the tenth term is 39 !:)