A geometric progression has first term log2( 27) and common ratio log2(y). (i)Find the set of values of y for which the geometric progression has a sum to
infinity [2 marks]

(ii)Find the exact value of y for which the sum of infinity of the geometric progression is 3 [5marks]

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.