Question #fd2ae Precalculus Sequences Arithmetic Sequences 1 Answer Monzur R. May 26, 2017 #a = 23/2# #d = -11/4# Explanation: We have #a_n = a, (a+d), (a+2d), ... (a+(n-1)d)# #a_3 = a+2d = 6# #a_7 = a+6d=-5# #a=6-2d# #6-2d+6d=-5# #4d=-11# #d=-11/4# #a+2(-11/4)=6# #a=23/2# From here, finding the required terms is elementary. 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 1121 views around the world You can reuse this answer Creative Commons License