Oliviapuente41121 Oliviapuente41121

23-12-2021
Mathematics

contestada

If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______

Respuesta :

surjithayer10otahza surjithayer10otahza

23-12-2021

Answer:

Step-by-step explanation:

r=60/100=0.6<1

[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]

Answer Link

Otras preguntas

What is the temperature reading on the following Celsius thermometer?

Make a number line to help you find the sum of - 5 + (-15).

Horizon inc., a local electronics manufacturing company, produces a significant amount of electronic waste every day. the company disposes the waste in the ocea

Your little cousin athena wants to know why she has crayons called blue-green and orange-yellow but none called blue-yellow or orange-green. you explain that ce

What is the simplified form of this expression? (0.2)^5

You're going to a restaurant for dinner. How can you select healthier foods without giving up on taste?

Isobutyl propionate is the substance that provides the flavor for rum extract. combustion of a 1.152 g sample of this carbon-hydrogen-oxygen compound yields 2.7

which of the following would be considered an example of a primary aim of geography? A- identifying the major rivers of the United States. B- locating the ca

the midpoint of AB is (-2, 2). The coordinates of point A are (-7,2) .What are the coordinates of point B

A bag contains four balls. one is blue, one is white and two are red. someone draws two balls at random from the bag. he looks at them and tells you that there