3968. The formula is the starting number squared, minus 1 (2*2-1=3...3*3-1=8....8*8-1=63..... 63*63-1=3968)
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2 Add 1 to the number and then take the square root. 3968 + 1 = 3969 : √3969 = 63 63 + 1 = 64 : √64 = 8 8 + 1 = 9 : √9 = 3 3 + 1 = 4 : √4 = 2.
The number sequence appears to be alternating between multiplying by 2 and subtracting 1. Starting with 2, we get 22 = 4, then 4-1 = 3, then 33 = 9, then 9-1 = 8, then 88 = 64, and finally 64-1 = 63. Therefore, the next number in the sequence should be 6363 = 3969.
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