# 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#?

##### 1 Answer

Nov 20, 2017

#### 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#