
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Among the following propositions:
\\(①\\) Given the linear regression equation \\( \\hat y=3+2x\\), when the variable \\(x\\) increases by \\(2\\) units, its predicted value increases by \\(4\\) units on average;
\\(②\\) The larger the linear correlation coefficient \\(r\\), the stronger the linear correlation between the two variables; otherwise, the linear correlation is weaker;
\\(③\\) Given the random variable \\(ξ\\) follows a normal distribution \\(N(0,σ^{2})\\), and \\(P(-2\\leqslant ξ\\leqslant 0)=0.4\\), then \\(P(ξ > 2)=0.2\\);
\\(④ \\int \_{ \\;0 }^{ π }\\;\\sin xdx\\) equals \\(2\\);
\\(⑤\\) Given \\( \\dfrac {2}{2-4}+ \\dfrac {6}{6-4}=2, \\dfrac {5}{5-4}+ \\dfrac {3}{3-4}=2, \\dfrac {7}{7-4}+ \\dfrac {1}{1-4}=2, \\dfrac {10}{10-4}+ \\dfrac {-2}{-2-4}=2\\), according to the pattern of the above equations, the general equation is \\( \\dfrac {n}{n-4}+ \\dfrac {8-n}{(8-n)-4}=2(n\\neq 4)\\).

Write the serial numbers of all the correct propositions.

Present the answer in LaTex format: \boxed{Your answer}
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