TEZPUR 2025 — Reasoning PYQ

This sequence is actually composed of two alternating series interleaved together. We can identify the pattern by separating the numbers at odd positions and even positions:

1. Odd positions ($1^{st},3^{rd},5^{th},7^{th},9^{th}$):

   $6,6,6,6,6$

   (This series remains constant).

2. Even positions ($2^{nd},4^{th},6^{th},8^{th},10^{th}$):

   $1,2,4,8,?$

   In this series, each number is being multiplied by $2$ to get the next number:

   • $1\times 2=2$

   • $2\times 2=4$

   • $4\times 2=8$

   • $8\times 2=16$

Since the next term in the overall sequence occupies the $10^{th}$ position (which belongs to the second alternating series), the next number is $8\times 2=16$.

Correct Option: (d) 16