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anonymous

  • 5 years ago

What is the next number in the sequence: 9, 3, 1, 1/3,...?.....I have alot of these questions with different sequence numbers how do I determine the the squence for each without spending alot of time on one question?

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  1. heisenberg
    • 5 years ago
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    These types of questions are all about determining patterns between the numbers. There is no "go-to" method to doing so, but a good start is to compare each number with the previous number and see any relations.

  2. heisenberg
    • 5 years ago
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    here we can see that it goes: 9, 3... already i know that 9 / 3 = 3, and also \[\sqrt(9) = 3\]

  3. heisenberg
    • 5 years ago
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    moving on, I see: 3, 1... well the sqrt(3) != 1, but 3 / 3 = 1

  4. heisenberg
    • 5 years ago
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    (!= means does not equal)

  5. heisenberg
    • 5 years ago
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    I'm starting to see that each number is just the previous divided by 3. the remaining numbers confirm this. so if i have: \[\frac{1}{3} / 3 = \frac{1}{3} * \frac{1}{3} = \frac{1}{9}\]

  6. anonymous
    • 5 years ago
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    in problems like this one how will I know to add, subtract, divide..etc to figure out how the sequence is going without having to use every number to get to the right one

  7. heisenberg
    • 5 years ago
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    You'll never really know which to use, but the idea is to eyeball the numbers and play around. The whole goal is to try and detect patterns. Like I did up there, examine the relationship between two consecutive numbers. Then take any of those that worked and try them on another pair.

  8. anonymous
    • 5 years ago
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    Ok....very helpful thank you!

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