Find the sum to infinity of the following series. 0.5 + 0...
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
\(\frac{5}{8}\)
\(\frac{5}{7}\)
\(\frac{5}{11}\)
\(\frac{5}{9}\)
Correct answer is D
Using S\(\infty\) = \(\frac{a}{1 - r}\)
r = \(\frac{0.05}{0.5}\) = \(\frac{1}{10}\)
S\(\infty\) = \(\frac{0.5}{{\frac{1}{10}}}\)
= \(\frac{0.5}{({\frac{9}{10}})}\)
= \(\frac{0.5 \times 10}{9}\)
= \(\frac{5}{9}\)
For what value of x is the expression \(\frac{2x - 1}{x + 3}\) not defined?...
If sec\(^2\) \(\theta\) + tan\(^2\) \(\theta\) = 3, then the angle \(\theta\) is equal to...
The following is the graph of a quadratic friction, find the value of x when y = 0 ...
If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)...
What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?...