The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms.

Answer Details

The nth term of the given sequence is n^2 - 6n - 4. To find the sum of the 3rd and 4th terms, we need to substitute n = 3 and n = 4 respectively, and then add the resulting values. So, the third term of the sequence is: 3^2 - 6(3) - 4 = 1 And, the fourth term of the sequence is: 4^2 - 6(4) - 4 = -12 Therefore, the sum of the 3rd and 4th terms is: 1 + (-12) = -11 Hence, the correct answer is option (D) -25 is not correct because -11 is the sum of the 3rd and 4th terms, not the 4th term itself.