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What is the pattern rule of 2,4,10,28,82....... it’s a tricky one

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Final answer:

The pattern rule for the sequence 2,4,10,28,82 is 'multiply by the next number and then subtract the next number'.

Step-by-step explanation:

The pattern rule for the sequence 2,4,10,28,82 can be defined using multiplication and addition. The pattern seems to be ‘multiply by the next number and then subtract the next number’. Let's break it down:

  1. 2-->4, it's multiplying by 2, giving us 4.
  2. 4-->10, it's multiplying by 3, and subtracting 2, giving us 10.
  3. 10-->28, it's multiplying by 4, and subtracting 12, giving us 28.
  4. 28-->82, it's multiplying by 5 and subtracting 38, giving us 82.

We can use this pattern to predict the next number in the sequence. For instance, to predict the next number after 82, we can multiply 82 by 6, and then subtract the result by 82, which gives us 410.

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