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Given a sequence of numbers, what is the rule to calculate R based on the examples provided?

Computer Science

ScanSolve AI Answer

Answer

9\text{9}

Step-by-step solution

5 steps

To find the value of R, we first need to determine the rule R represents by studying the given examples.

  1. Analyze the first example.

    The sequence is 2,4,3,9,6,132, 4, 3, 9, 6, 13, and the result is 11.
    This sequence has 6 terms (an even number).
    Let's consider the terms at odd positions: 2 (1st), 3 (3rd), 6 (5th).
    Summing these terms: 2+3+6=112 + 3 + 6 = 11. This matches the given result.

  2. Analyze the second example.

    The sequence is 13,10,18,24,4213, 10, 18, 24, 42, and the result is 32.
    This sequence has 5 terms (an odd number).
    Let's consider the terms at even positions: 10 (2nd), 24 (4th).
    Summing these terms: 10+24=3410 + 24 = 34.
    The given result is 32. We can get 32 by subtracting 2 from 34: 34−2=3234 - 2 = 32. This matches the given result.

  3. Formulate the rule for R.

    Based on the examples, the rule for R is:

    • If the sequence has an even number of terms, R is the sum of the terms at odd positions.
    • If the sequence has an odd number of terms, R is the sum of the terms at even positions, minus 2.
  4. Apply the rule to .

    The sequence is 1,3,8,101, 3, 8, 10.
    The number of terms is 4 (an even number).
    According to the rule for an even number of terms, R is the sum of the terms at odd positions.
    The terms at odd positions are 1 (1st) and 8 (3rd).

    R=1+8=9R = 1 + 8 = 9

    The value of R for is 9\boxed{\text{9}}.

  5. Apply the rule to .

    The sequence is 3,1,6,93, 1, 6, 9.
    The number of terms is 4 (an even number).
    According to the rule for an even number of terms, R is the sum of the terms at odd positions.
    The terms at odd positions are 3 (1st) and 6 (3rd).

    R=3+6=9R = 3 + 6 = 9

    The value of R for is 9\boxed{\text{9}}.

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