# What is the 30th term of the arithmetic series 60, 53, 46, 39..?

##### 1 Answer

Jun 2, 2016

#### Explanation:

The standard

#color(blue)"Arithmetic sequence"# has termsa ,a+d ,a+2d ,a+3d , ............ , a+(n-1)d

where a is the 1st term , d is the common difference and

a+(n-1)d is the nth term

here a = 60 , d = 53 - 60 = 46 - 53 = -7

To find the 30th term use the nth term with n = 30 , a = 60

and d = -7

#rArra_(30)=60+(30-1)(-7)=60+(29xx-7)=-143#