hello! This is a math problem I wrote, and I'm interested to see if I you can help me articulate the answer:
You are moving backwards through time. You experience a series of "time jumps" that increase in both time jumped and in duration. You have a stopwatch that can accurately time each time jump and duration. You jump back 11 minutes (in other words, you go back in time to 11 minutes ago), and then 3 seconds later you jump back 121 minutes, and then 9 seconds later you jump back 1331 minutes, and then in 27 seconds you jump back again. As you can see, the pattern rule for the duration is that each number increases by a factor of 3, and the pattern rule for the time jumps is that each number increases by a factor of 11.
How would you express the totality of this pattern (as opposed to two separate pattern rules) in words?
How would you express it with an algebraic equation?
thank you!
You are moving backwards through time. You experience a series of "time jumps" that increase in both time jumped and in duration. You have a stopwatch that can accurately time each time jump and duration. You jump back 11 minutes (in other words, you go back in time to 11 minutes ago), and then 3 seconds later you jump back 121 minutes, and then 9 seconds later you jump back 1331 minutes, and then in 27 seconds you jump back again. As you can see, the pattern rule for the duration is that each number increases by a factor of 3, and the pattern rule for the time jumps is that each number increases by a factor of 11.
How would you express the totality of this pattern (as opposed to two separate pattern rules) in words?
How would you express it with an algebraic equation?
thank you!