campbell8391 campbell8391

12-07-2018
Mathematics

contestada

Find the sum of the infinite series 0.9 + 0.09 + 0.009 +…if it exists.

Respuesta :

konrad509 konrad509

12-07-2018

[tex] S=0.9+0.09+0.009+\ldots\\
q=0.1\\
|q|<1 \Rightarrow S=\dfrac{a_1}{1-q}\\\\
S=\dfrac{0.9}{1-0.1}=\dfrac{0.9}{0.9}=1 [/tex]

Answer Link

Otras preguntas

20. A way to describe a chemical reaction a. Equations c. Molecules b. Metals d. Elements

¿Qué es una restricción FACTIBLE? El tema es sobre Programación Lineal. Por favor no se roben los puntos, necesito una respuesta. NO WIKIPEDIA.

I’ll give BRAINLIST??What organs/organs systems does schizophrenia affect and how does it affect it?

please help me on this one thx i really need this one.

2x +6y = 2 х= 8 - Зу What is X and Y?

What is the probability that the reader is a young adult given that their favorite is Asimov or Brooks?

there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same time?

The best advice you’ve ever gotten?

What are your goals that you want to achieve in 5 years?

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS