Question

The nth term of a sequence is given by 12 - 5n. Find the sum of the 2nd term and the 6th term of the sequence. Options: a) -21 b) -33 c) 33 d) 21

Answer 1

First, we need to find the 2nd term (when n=2) and the 6th term (when n=6) of the sequence.

To find the 2nd term of the sequence, substitute n=2 into the formula 12 - 5n:

12 - 5 * 2 = 12 - 10 = 2.

So, the 2nd term of the sequence is 2.

Next, to find the 6th term of the sequence, substitute n=6 into the formula:

12 - 5 * 6 = 12 - 30 = -18.

So, the 6th term of the sequence is -18.

Finally, to find the sum of the 2nd and the 6th terms, simply add the 2nd term and the 6th term:

2 + (-18) = -16.

So, the sum of the 2nd and 6th terms of the sequence is -16. Therefore, the correct choice would be none of the given options.