The problem asks for the output of the given flowchart. The flowchart initializes $x$ to 1 and $T$ to 1. It then checks if $x > 5$. If it is, the flowchart stops. Otherwise, it displays $T$, increments $x$ by 1, calculates $T$ as $T+x$, and repeats the loop.

1. Problem Description

The problem asks for the output of the given flowchart. The flowchart initializes $x$ to 1 and $T$ to

1. It then checks if $x > 5$. If it is, the flowchart stops. Otherwise, it displays $T$, increments $x$ by 1, calculates $T$ as $T+x$, and repeats the loop.

2. Solution Steps

We will trace the execution of the flowchart.

- Initially, $x = 1$ and $T = 1$.

- The condition $x > 5$ (i.e., $1 > 5$) is false.

- Display $T$, which is

1. - $x$ becomes $x + 1 = 1 + 1 = 2$.

- $T$ becomes $T + x = 1 + 2 = 3$.

- The condition $x > 5$ (i.e., $2 > 5$) is false.

- Display $T$, which is

3. - $x$ becomes $x + 1 = 2 + 1 = 3$.

- $T$ becomes $T + x = 3 + 3 = 6$.

- The condition $x > 5$ (i.e., $3 > 5$) is false.

- Display $T$, which is

6. - $x$ becomes $x + 1 = 3 + 1 = 4$.

- $T$ becomes $T + x = 6 + 4 = 10$.

- The condition $x > 5$ (i.e., $4 > 5$) is false.

- Display $T$, which is

1

0. - $x$ becomes $x + 1 = 4 + 1 = 5$.

- $T$ becomes $T + x = 10 + 5 = 15$.

- The condition $x > 5$ (i.e., $5 > 5$) is false.

- Display $T$, which is

1

5. - $x$ becomes $x + 1 = 5 + 1 = 6$.

- $T$ becomes $T + x = 15 + 6 = 21$.

- The condition $x > 5$ (i.e., $6 > 5$) is true.

- The flowchart stops.

The output is the sequence of values of $T$ that are displayed: 1, 3, 6, 10, 15,

2

1.

3. Final Answer

(4) 1 3 6 10 15 21