# Sequence 1

Algebra Level 3

Let $$a,b,c,d$$ be 4 positive real numbers with $$a<b<c<d$$. Given that $$a,b,c,d$$ are first 4 terms of an AP and $$a,b,d$$ are in GP.

The value of $$\dfrac{ad}{bc}$$ is $$\dfrac{p}{q}$$, where $$p$$ and $$q$$ are prime numbers.

Find the value of $$q$$.

×