What is the 7th term of the geometric sequence 4, -20, 100, …? Precalculus Sequences Arithmetic Sequences 1 Answer Binayaka C. Jun 18, 2017 #7# th term is #62500# Explanation: #n# th term of geometric sequence is #T_n= a*r^(n-1); a,r,n# are the first term , common ratio and requred term respectively. Here #a =4 ,r = -20/4=100/-20= -5 , n= 7 :. T_7= 4*(-5)^(7-1)# or #T_7= 4*(-5)^6=62500# [Ans] 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 3679 views around the world You can reuse this answer Creative Commons License