Me with the answer for this many terms of the series 125 +25+5+ required to give a sum of 97565/625)

The answer can be calculated by doing the following steps;

Step-by-step explanation:

I think you have done some mistakes in question because at one stage there comes a complex no. And at the end the value of n comes in decimal.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.