Question

Знайдіть суму нескінченної геометричної прогресії -64;32;-16…

Answer 1

-128/3

S=b1/(1-q)

q=b2/b1

q=32/-64=-1/2

s=-64/(1-(-1/2))=-64/(3/2)=-128/3

Answer 2

Sum of an Infinite Geometric Progression

To find the sum of an infinite geometric progression, we can use the formula:

S = a / (1 - r)

where: - S is the sum of the progression - a is the first term of the progression - r is the common ratio between consecutive terms

In this case, the first term a is