quadraticsarithmetic sequencegeometric sequencegeometric series
Problem Statement
A sequence of three real numbers forms an arithmetic progression with a first term of 9. If 2 is added to the second term and 20 is added to the third term, the three resulting numbers form a geometric progression. What is the smallest possible value for the third term of the geometric progression?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>36<spanclass=′latex−bold′>(D)</span>49<spanclass=′latex−bold′>(E)</span>81