# How do you find the first five terms of the arithmetic sequence given #a_1=2# and d=13?

##### 1 Answer

Nov 30, 2017

#### Explanation:

#"the terms of an arithmetic sequence in general are"#

#a,a+d,a+2d,a+3d, .... a+(n-1)d#

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

#"each term is generated by adding the common difference"#

#"to the previous term"#

#a_1=2#

#a_2=2+13=15#

#a_3=15+13=28#

#a_4=28+13=41#

#a_5=41+13=54#