# Dwindling powers

Algebra Level 4

The expression $$(1+\sqrt{x})^n$$ is expanded in decreasing powers of $$x$$. If the fourth term can be expressed in terms of $$x^2$$, find the value of $$\frac{p}{q+r}$$.

Details:

$$p$$ = sum of coefficients of all terms except first and last term

$$q$$ = coefficient of second term

$$r$$ = coefficient of fourth term

Hint:

You need to find the value of $$n$$ first.

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