How do you tell whether the sequence #1, 1 1/6, 1 1/3, 1 1/2# is arithmetic and if it is, what is the common difference? Precalculus Sequences Arithmetic Sequences 1 Answer sankarankalyanam Jun 19, 2018 #color(blue)("Hence it's an Arithmetic Sequence with c.d. = " d = 1/6# Explanation: #a = 1, a_2 = 1(1/6), a_3 = 1(1/3), a_4 = 1(1/2), . . . # #"Common Difference " d = a_2 - a = 1(1/6) - 1 = (1/6)# #d = a_3 - a_2 = 1(1/3) - 1(1/6) = 1/6# #d = a_4 - a_3 = 1(1/2) - 1(1/3) = 1/6# #color(blue)("Hence it's an Arithmetic Sequence with c.d. = " d = 1/6# 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 327 views around the world You can reuse this answer Creative Commons License