What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms?

The the sum of the geometric sequence 1, 4, 16, … up to 8 terms is 21845.

Step-by-step explanation:

Given the geometric series 1, 4, 16, …

we have to find the sum of the GP if there are 8 terms.

Series:  1, 4, 16, …

First term, a=1

Number of terms, n=8

Common ratio,

The formula to find the sum of above G.P is

Hence, the the sum of the geometric sequence 1, 4, 16, … up to 8 terms is 21845.

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.