Question

What is the sixth term of the sequence? ( 5,−10,205,-10,20 ,...)

A. 5
B. -10
C. 205
D. 20

Answer 1

The sixth term of the sequence is 35.

Step-by-step explanation:

The given sequence is: 5,-10,205,-10,20,...

To find the sixth term of the sequence, we can observe the pattern:

1. The first term is 5.
2. From the second term onwards, every odd-indexed term is -10.
3. From the third term onwards, every even-indexed term follows the pattern of adding 15 to the previous even-indexed term.

Using this pattern, the sixth term will be obtained by adding 15 to the fourth term, which is 20. So, the sixth term of the sequence is 35.