Asked by Unit
Find the eightheighth term of the sequence.
3, 1, −3, −9, −17, ...
3, 1, −3, −9, −17, ...
Answers
Answered by
oobleck
wrong again. The sequence continues from -17, with
-17-10 = -27
-27-12 = -39
-39-14 = -53
-17-10 = -27
-27-12 = -39
-39-14 = -53
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
Apologies for the mistake. Thank you for your correction.
Therefore, the eighth term of the sequence is -53.
Therefore, the eighth term of the sequence is -53.
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