The sum to infinity of the series: 1 + (1/3) + (1/9) + (1...
The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is
11/3
10/3
5/2
3/2
Correct answer is D
The series is geometric with common ratio \(\frac{1}{3}\).
\(S_{\infty} = \frac{a}{1 - r}\)
= \(\frac{1}{1 - \frac{1}{3}} \)
= \(\frac{1}{\frac{2}{3}}\)
= \(\frac{3}{2}\)
Solve the equation 2x - 3y = 22; 3x + 2y = 7...
If tan y is positive and sin y is negative, in which quadrant would y lie? ...
The graph of cumulative frequency distribution is known as ...
A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k...
Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)...
If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation. ...
Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0...
Express 16.54 x 10\(^{-5}\) - 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\) in standard form...