Reducing squares
100 = 10²
81 = 9²
64 = 8²
49 = 7²
36 = 6²
so next is
25 = 5²
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For the given pattern the nth term (n = 1 to 5) is given by:
t(n) = n² - 22n + 121
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Reducing squares 9 x 9 = 81 8 x 8 = 64 7 x 7 = 49 6 x 6 = 36 so next would be 5 x 5 = 25
The next number will be 25 because 5 times 5 = 25
There are a few possibilities, but 100 is the most likely.
These are square numbers. 81 = 9 x 9 64 = 8 x 8 49 = 7 x 7 36 = 6 x 6
It is the squares in decreasing order from 102: 100 = 102 81 = 92 64 = 82 49 = 72 etc So it will continue with 62, 52, 42, ... The nth term is given by tn = (11 - n)2