This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

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To find the value of R, we first need to determine the rule R represents by studying the given examples.
Step 1: Analyze the first example. The sequence is , and the result is . This sequence has 6 terms (an even number). Let's consider the terms at odd positions: (1st), (3rd), (5th). Summing these terms: . This matches the given result.
Step 2: Analyze the second example. The sequence is , and the result is . This sequence has 5 terms (an odd number). Let's consider the terms at even positions: (2nd), (4th). Summing these terms: . The given result is . We can get by subtracting from : . This matches the given result.
Step 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 .
Step 4: Apply the rule to . The sequence is . The number of terms is (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 (1st) and (3rd). The value of R for is .
Step 5: Apply the rule to . The sequence is . The number of terms is (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 (1st) and (3rd). The value of R for is .
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To find the value of R, we first need to determine the rule R represents by studying the given examples.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.