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What is the next number in the sequence 2, 4, 3, 9, 6, 13, R?

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

To find the value of R, we need to identify the pattern in the given sequence: $2, 4, 3, 9, 6, 13$.
This sequence appears to be composed of two interleaved sequences.

  1. Separate the terms into two sub-sequences based on their position.

    • The terms at odd positions are: $2, 3, 6$.
    • The terms at even positions are: $4, 9, 13$.

  2. Analyze the pattern for the sequence at odd positions.

    For the sequence 2,3,62, 3, 6:

    • The difference between the first and second term is 3−2=13 - 2 = 1.
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