Question

Given the first term and the common dimerence er an arithmetic sequence how do you find the 52nd term and the explicit formula: `a_1=25, d=6`?

Answer 1

`a_n=6n+19" and "a_(52)=331`

Explanation:

`"the nth term of an arithmetic sequence is "`

`•color(white)(x)a_n=a+(n-1)d`

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

`"here "a=a_1=25" and "d=6`

`rArra_n=25+6(n-1)`

`color(white)(rArra_n)=25+6n-6`

`rArra_n=6n+19`

`rArra_(52)=(6xx52)+19=331`