1. each new number is 1/2 times the previous one ..
2. How about (-3)^n , were n = 0,1,2,3,...
3. What if I rewrote you fractions as
1/2 , 2/4, 3/8 , 4/16, 5/32 ...
Can you see what is happening ?
4. the odd-position numbers are all negative and contain as many 9's as the position in the sequence
e.g. the 7h number would be 9999999 (7 nines)
the even-position numbers are all positive and start and end with 1, with one less 0 between them as then position of the number
e.g. the 6th number is 1000001 (five 0's between the 1's)
Please find the next THREE numbers in the patterns and explain how you got them:
1) 5, 5/2, 5/4, 5/8, 5/16....
2) 1, -3, 9, -27, 81...
3) 1/2, 1/2, 3/8, 1/4, 5/32...
4) -9, 101, -999, 10001, -99999...
2 answers
5668