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What number is next 1 4 10 22?
One possibility is that the sequence continues: 46, 94, 190, ... The difference between the given terms is 3, 6, 12; so the sequence continues by doubling the previous difference: 24, 48, 96, ... and adding it to the previous number.
What is the next number in the following sequence 1361015?
I'm guessing your sequence is 1, 3, 6, 10, 15, ... In which case it continues: 21, 28, 36, 45, 55, 66, ... (These are the triangular numbers.)
What is the seventh number in the sequence 15 24 25 5 14 15?
The sequence of differences between consecutive numbers is 9, 1, -20, 9, 1. If this continues then the next difference is -20 and therefore the seventh number is -5. (15 - 20).
Is 0.101001000100001000001 a rational number?
I assume you mean that the sequence continues this way. No, it is not. To be rational, the same pattern - excatly the same sequence of digits - must repeat over and over, since any fraction (i.e., rational number) converted to decimal has this type of pattern.
Is 0.08008000800008... Rational?
Rational numbers are those decimals which either terminate or end in a repeating sequence of 1 or more digits. Assuming the number continues with an extra 0 before the next 8 each time then the number neither terminates nor ends in a sequence of repeating digits, thus it is not a rational number.
