Find the eightheighth term of the sequence.

Question

3​, 1​, −3​, −9​, −17​, ...

Answer 1

To find the eighth term of the sequence, we first need to determine the pattern or rule governing this sequence.

Looking at the differences between consecutive terms:
1st term to 2nd term: 1 - 3 = -2
2nd term to 3rd term: -3 - 1 = -4
3rd term to 4th term: -9 - (-3) = -6
4th term to 5th term: -17 - (-9) = -8

We can see that the differences between consecutive terms are decreasing by 2 each time. So, the pattern is that each term is decreasing by an increasing odd number:

1st term: 3
2nd term: 1
3rd term: -3
4th term: -9
5th term: -17

Based on this pattern, the eighth term would be:

8th term: -17 - 14 = -31

Therefore, the eighth term of the sequence is -31.

Answer 2

wrong again. The sequence continues from -17, with
-17-10 = -27
-27-12 = -39
-39-14 = -53

Answer 3

Apologies for the mistake. Thank you for your correction.

Therefore, the eighth term of the sequence is -53.