# How do you find the next three terms of the arithmetic sequence #3.1, 4.1, 5.1, 6.1, ...#?

##### 1 Answer

Dec 23, 2016

#### Answer:

#### Explanation:

The terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

#a_1,a_1+d,a_1+2d,a_1+3d,....,a_1+(n-1)d#

#"where " d=a_2-a_1=a_3-a_2=....=a_n-a_(n-1)#

#"here " d=4.1-3.1=1# Adding 1 to each term gives the next 3 terms in the sequence.

#rArr(6.1+1)=7.1" and so on"#