
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
Given propositions $p$: "There exists $a>0$ such that the function $f(x)=ax^2-4x$ is monotonically decreasing on $(-\infty,2]$", and proposition $q$: "There exists $a\in R$ such that for $x\in R$, $16x^2-16(a-1)x+1\neq 0$". If the proposition "$p\land q$" is true, find the range of values for the real number $a$.

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