Final answer:
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:
- The first term is 5.
- From the second term onwards, every odd-indexed term is -10.
- 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.