# How do you find an equation that describes the sequence #7, 10, 13, 16,...# and find the 89th term?

##### 2 Answers

Oct 27, 2017

**Arithmatic sequene with common diference** **and**

**th term is**

#### Explanation:

This is an arithmatic sequene , the common difference is

Oct 27, 2017

#### Explanation:

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

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

#"where a is the first term and d the "color(blue)"common difference"#

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

#"here "d= 10-7=13-10=16-13=3#

#"the nth term of the sequence is"#

#â€¢color(white)(x)a_n=a+(n-1)d#

#rArra_n=7+3(n-1)=7+3n-3#

#rArra_n=3n+4larrcolor(red)"nth term formula for sequence"#

#rArra_(89)=(3xx89)+4=271#