# Which of the following is the algebraic expression that best describes the sequence 7,14, 21, 28,?

##### 1 Answer

Jan 26, 2018

#### Explanation:

#"the terms are the terms of an "color(blue)"arithmetic sequence"#

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

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

#a+(n-1)d" is the n th term"#

#"here "d=28-21=21-14=14-7=7#

#rArra_n=7+7(n-1)=7n#

#rArra_n=7n" generates the terms in the sequence"#