Waste less time on Facebook — follow Brilliant.
×

A question for you

Here's a question for you:

What is the value of :

\((0.05)^{\log_\sqrt{20} (0.1+0.01+0.001..............\infty)}\)

Note by Snehdeep Arora
4 years, 1 month ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

First we sum the infinite geometric series with first term 0.1, common ratio 0.1 We get S = 0.1/(1-0.1) = 1/9. Take 0.05 = 1/20 = (√20)^-2, then the term can be resolved to 81. (Sorry can't show expression by typing)

Is this correct? Eng Ngee H'ng · 4 years, 1 month ago

Log in to reply

@Eng Ngee H'ng yeah Snehdeep Arora · 4 years, 1 month ago

Log in to reply

81 Sehaj Taneja · 3 years, 6 months ago

Log in to reply

81 Yugesh Karnati · 4 years, 1 month ago

Log in to reply

Is the answer 81? Anshul Agarwal · 4 years, 1 month ago

Log in to reply

@Anshul Agarwal correct Snehdeep Arora · 4 years, 1 month ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...