Identify the next two numbers in the following sequence:
17, 20, 9, 12, 5, 6, 3, 2, ____, ____
Explanation
Sequence Question:
Identify the next two numbers in the sequence:
17,20,9,12,5,6,3,2,?,?
Solution:
Let's split the sequence into two alternate parts:
- Odd-positioned terms: 17,9,5,3 → decreasing by 8,4,2
- Even-positioned terms: 20,12,6,2 → decreasing by 8,6,4
Continue the pattern:
- Odd series: 17 → 9 (-8), 9 → 5 (-4), 5 → 3 (-2), so next is 3−1=2
- Even series: 20 → 12 (-8), 12 → 6 (-6), 6 → 2 (-4), so next is 2−2=0
Final Answer:
2,0
Explanation
Sequence Question:
Identify the next two numbers in the sequence:
17,20,9,12,5,6,3,2,?,?
Solution:
Let's split the sequence into two alternate parts:
- Odd-positioned terms: 17,9,5,3 → decreasing by 8,4,2
- Even-positioned terms: 20,12,6,2 → decreasing by 8,6,4
Continue the pattern:
- Odd series: 17 → 9 (-8), 9 → 5 (-4), 5 → 3 (-2), so next is 3−1=2
- Even series: 20 → 12 (-8), 12 → 6 (-6), 6 → 2 (-4), so next is 2−2=0
Final Answer:
2,0
