How do you find #a_21# given 121, 118, 115, ...? Precalculus Sequences Arithmetic Sequences 1 Answer Anjali G Dec 11, 2016 If #a(1)=121#, #a(2)=118#, and #a(3)=115#, we can create an equation for #a(n)#, then plug in #n=21# to get #a(21)#. #a(n)=-3n+b# #121=-3(1)+b# #b=124# #a(n)=-3n+124# #a(21)=-3(21)+124# #=61# 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 1565 views around the world You can reuse this answer Creative Commons License