The fourth, seventh and sixteenth terms of an Arithmetic Progression are in a geometric progression, If the first six terms of the Arithmetic progression have a sum of 12, find the common difference of the Arithmetic Progression and the common ratio of the Geometric Progression

Ok, what is given:



are in geometric progression.

So, we know that:



This can be written as:



Then, we are given:



You have two equations with two unknowns. I think you can now find the answer. Post what you get! :)

I got two and then three
Thank you very much Unknown 008.. its helped me

Well done! :)