How do you find the formula for #a_n# for the arithmetic sequence #a_1=0, d=-2/3#?

1 Answer
Mar 17, 2018

Answer:

Hence #color(green)(a_n = a_1 + (n-1) * d# is the general form for the #n^(th)# term.

Explanation:

Given : #a_1 = 0, d = -(2/3)#

#a_2 = a_1 + d = 0 - 2/3 = -2/3#

#a_3 = a_2 + d = a_1 + 2d = a_1 + (3-1) d= 0 - 4/3 = -4/3#

#a_4 = a_3 + d = a_1 + 3d = a_1 + (4-1) d= 0 - 6/3 = -2#

Hence #a_n = a_1 + (n-1) * d# is the general form for the #n^(th)# term.