How do you find the explicit formula for the following sequence 1/3,2/9,4/27,8/81,16/243......? Precalculus Sequences Arithmetic Sequences 1 Answer Alan P. Feb 15, 2016 #a_n=1/3*(2/3)^n# Explanation: #a_0=1/3# #a_1=a_0*2/3=2/9# #a_2=a_1*2/3 = a_0*(2/3)^2 =4/27# #a_3=a_2*2/3=a_0*(2/3)^3=8/81# #a_4=a_3*2/3=a_0*(2/3)^4=16/243# #color(black)("...")# #a_n=a_0*(2/3)^n = 1/3*(2/3)^n# Answer link Related questions What is a descending arithmetic sequence? What is an arithmetic sequence? How do I find the first term of an arithmetic sequence? How do I find the indicated term of an arithmetic sequence? How do I find the #n#th term of an arithmetic sequence? What is an example of an arithmetic sequence? How do I find the common difference of an arithmetic sequence? How do I find the common difference of the arithmetic sequence 2, 5, 8, 11,...? How do I find the common difference of the arithmetic sequence 5, 9, 13, 17,...? What is the common difference of the arithmetic sequence 5, 4.5, 4, 3.5,...? See all questions in Arithmetic Sequences Impact of this question 3077 views around the world You can reuse this answer Creative Commons License