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IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3 Question 18

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3

Question 18

The sequence is defined by $x_1=2$ and $x_{n+1}=x_n^{x_n}$ for every positive integer n. What is $x_4$?

Question illustration
  1. $2^{2^3}$
  2. $2^{2^4}$
  3. $2^{2^{11}}$
  4. $2^{2^{16}}$
  5. $2^{2^{768}}$