How do I find the #n#th term of an arithmetic sequence? Precalculus Sequences Arithmetic Sequences 1 Answer Alan P. Mar 25, 2016 #a_n=a_1+(n-1)*d# #color(white)("XXX")#where #a_1# is the first term and #color(white)("XXXXXXX")d# is the difference between a term and its previous term. Explanation: Examine the pattern: #a_1# #a_color(brown)(2)=a_1+d=color(green)(a_1+1d)# #a_color(brown)(3)=a_2+d=a_1+d+d=color(green)(a_1+2d)# #a_color(brown)(4)=a_3+d=a_1+2d+dcolor(green)(=a_1+3d)# #a_color(brown)(5)=a_4+d=a_1+3d+d=color(green)(a_1+4d)# 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? 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,...? What sequence is created when the common difference is 0? See all questions in Arithmetic Sequences Impact of this question 12920 views around the world You can reuse this answer Creative Commons License