Better Students Ask More Questions.
The 4th term of an arithmetic series is 14 and the 6th term is 18. What is the sum of...
1 Answer | add yours
The nth term of an arithmetic series with first term a and common difference d is a + (n - 1)*d. The sum of the first n terms is (n/2)*(2a + (n -1)*d)
Here, the 4th term is 14 and the 6th term is 18.
a + 3d = 14 and a + 5d = 18
2d = 4
=> d = 2
a = 8
The sum of the first 8 terms is (8/2)*(2*8 + 7*2) = 4*30 = 120
The required sum is 120
Posted by justaguide on September 12, 2013 at 3:12 PM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.