# Firstly an AP, then it becomes a GP!

Algebra Level 1

There are 4 integers $$a,b,c,d$$ where the first three terms $$(a,b,c)$$ form an Arithmetic Progression while the last three terms $$(b,c,d)$$ form a Geometric Progression. Given that the sum of the first and the last term $$(a+d)$$ is $$37$$ and the sum of the second and third term $$(b+c)$$ is $$36$$. Find the sum of these 4 integers $$a,b,c,d$$.

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