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.