The problem asks for the output of the given flowchart. The flowchart initializes $N=0$ and $Result=0$. Then it enters a loop where $N$ is updated to $N+2$ and $Result$ is updated to $Result+N$. The loop continues as long as $N$ is not greater than 9. When $N>9$ the loop terminates and the $Result$ is displayed.

Discrete MathematicsAlgorithmsFlowchartsIterationSequences
2025/4/8

1. Problem Description

The problem asks for the output of the given flowchart. The flowchart initializes N=0N=0 and Result=0Result=0. Then it enters a loop where NN is updated to N+2N+2 and ResultResult is updated to Result+NResult+N. The loop continues as long as NN is not greater than

9. When $N>9$ the loop terminates and the $Result$ is displayed.

2. Solution Steps

We trace the execution of the flowchart.
* Initialization: N=0N = 0, Result=0Result = 0.
* Loop 1:
* N=N+2=0+2=2N = N + 2 = 0 + 2 = 2
* Result=Result+N=0+2=2Result = Result + N = 0 + 2 = 2
* N>9N > 9? No, since 2>92 > 9 is false.
* Loop 2:
* N=N+2=2+2=4N = N + 2 = 2 + 2 = 4
* Result=Result+N=2+4=6Result = Result + N = 2 + 4 = 6
* N>9N > 9? No, since 4>94 > 9 is false.
* Loop 3:
* N=N+2=4+2=6N = N + 2 = 4 + 2 = 6
* Result=Result+N=6+6=12Result = Result + N = 6 + 6 = 12
* N>9N > 9? No, since 6>96 > 9 is false.
* Loop 4:
* N=N+2=6+2=8N = N + 2 = 6 + 2 = 8
* Result=Result+N=12+8=20Result = Result + N = 12 + 8 = 20
* N>9N > 9? No, since 8>98 > 9 is false.
* Loop 5:
* N=N+2=8+2=10N = N + 2 = 8 + 2 = 10
* Result=Result+N=20+10=30Result = Result + N = 20 + 10 = 30
* N>9N > 9? Yes, since 10>910 > 9 is true.
* The loop terminates. The final result is displayed.

3. Final Answer

The output of the flowchart is 30.

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