# 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=37, d=200#?

##### 1 Answer

Jul 10, 2017

#### Explanation:

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

#•color(white)(x)a_n=a_1+(n-1)d#

#rArra_(52)=37+(51xx200)=10237#

#"the general ( explicit) formula"#

#a_n=37+200(n-1)#

#color(white)(a_n)=37+200n-200#

#rArra_n=200n-163#