1937 and 7617.
The first four terms seem to suggest a power sequence such as Un = (-1/2)*(-4)n but the last term does not fit.
One possibility which does fit all five data points is:
Un = (791n4 - 8898n3 + 34213n2 - 52458n + 26400)/24 for n = 1 , 2, 3, ...
This rule gives the above answers.
They are 1/2 the previous term and so the next term will be -32
128-256
Not sure what a gemetric sequence might be. 2 8 32 128 is the start of the geometric sequence defined by Un = 22n-1 for n = 1, 2, 3, ...
32
18, 24.5 and 32.
They are 1/2 the previous term and so the next term will be -32
256
128-256
512 / 2 = 256 256 / 2 = 128 128 / 2 = 64 64 / 2 = 32 32 / 2 = 16 16 / 2 = 8 8 / 2 = 4 4 / 2 = 2 2 / 2 = 1
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.
The next two numbers in the sequence are... 45 & 54.
Not sure what a gemetric sequence might be. 2 8 32 128 is the start of the geometric sequence defined by Un = 22n-1 for n = 1, 2, 3, ...
-4 +8 -16 +32 -64 +128 Next number in this sequence is 184
32
18, 24.5 and 32.
The differences between the numbers is decreasing by 8 each time. Therefore, since the difference between 48 and 32 is 16, the difference between the next two numbers will be 16 - 8 = 8. Therefore, the next number in the sequence is equal to 32 - 8 = 24.
It appears as if the pattern is doubling, therefore the next three numbers are 16, 32, and 64.