625
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The series is decreasing by consecutive perfect squares starting from 16^2 (256) and decreasing by 2^2 each time. Therefore, the next number in the series would be 4^2, which is 16.
128. 1+1=2 2+2=4 4+4= 16 16+16= 32 32+32= 64 64+64 = 128 128+128 = 256 256+256 =512 512+512= 1024 Each time take the answer from the previous problem and double it to find the next number in the sequence.
65,536 is.
Oh, what a happy little sequence we have here! It looks like we're doubling every other number. So, after 16, the next number would be 16 doubled, which is 32. Just like painting a beautiful landscape, sometimes patterns can be found in the most unexpected places.
256