Review question

What are the first term and common ratio given two facts about this geometric progression? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9177

Question

The first term of a geometric progression exceeds the second term by $2$, and the sum of the second and third terms is $\frac{4}{3}$. Calculate the possible values of the first term and of the common ratio of the progression.

Given further that all the terms of the progression are positive, calculate the sum to infinity.