# What is the 20th term of the arithmetic sequence 4, -2, -8, ... ?

##### 1 Answer

Feb 26, 2016

#### Explanation:

The standard

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

where a , is the first term , d , the common difference and the nth term is a + (n-1)d

here a = 4 , d = -4-2 = -8-(-2) = -6 and n = 20

#rArr " 20th term " = 4 + (19xx-6) = 4 -114 = -110#