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Question Id : 11560 | Context :NIMCET 2023

Question

Identify the next two numbers in the following sequence:
17, 20, 9, 12, 5, 6, 3, 2, ____, ____
πŸŽ₯ Video solution / Text Solution of this question is given below:

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 β†’ decreasing by 8, 4, 2
  • Even-positioned terms: 20, 12, 6, 2 β†’ decreasing by 8, 6, 4

 Continue the pattern:

  • Odd series: 17 β†’ 9 (–8), 9 β†’ 5 (–4), 5 β†’ 3 (–2), so next is 3 – 1 = 2
  • Even series: 20 β†’ 12 (–8), 12 β†’ 6 (–6), 6 β†’ 2 (–4), so next is 2 – 2 = 0

βœ… Final Answer:

2, 0



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