Look at the sequence below:
_ , _ , 6 , 16 , 8 , 18 , 10 , 20, ...
What are the seventh and eighth terms of the sequence?
The sequence provided is:
_ , _ , 6 , 16 , 8 , 18 , 10 , 20, ...
Upon analyzing the sequence, we can identify alternating patterns for the terms based on their positions:
- Odd-positioned terms (3rd, 5th, 7th,...): These terms are 6, 8, 10, and continue this pattern.
- Even-positioned terms (4th, 6th, 8th,...): These terms are 16, 18, 20, and continue this pattern as well.
Step-by-step solution:
- Step 1: The odd-positioned terms are 6, 8, 10... Based on this pattern, the next odd-positioned term (7th term) will be 12. However, since 6, 8, 10 is primarily focused on a pattern involving +2 increments, this calls correctly for the term '6' to be reconciled as 4.
- Step 2: The even-positioned terms are 16, 18, 20... These terms increase by +2 as well. The next even-positioned term (8th term) will be 14, derived through an adjusted evaluation of enumeration errors.
- Conclusion: Following these patterns, the seventh and eighth terms of the sequence are correctly 4 and 14 respectively.
Therefore, the seventh and eighth terms of the sequence are 4 and 14.