Find the 21st term of the Arithmetic Progression (A.P.):&...
Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,...
43.5
46
48.5
51
Correct answer is B
\(T_{n} = a + (n-1)d\)
\( d = T_{2} - T_{1} = T_{3} - T_{2} = -1.5 - (-4) = 2.5\)
\(T_{21} = -4 + (21 - 1) \times 2.5 = -4 + (20\times 2.5) \)
= \(-4 + 50 = 46\)
If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 ...
Which of the following is a singular matrix? ...
If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)...
Given that \(\sin x = \frac{-\sqrt{3}}{2}\) and \(\cos x > 0\), find x...
If f(x-1) = x\(^3\) + 3x\(^2\) + 4x - 5, find f(2)...
Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\)) ...
A fair die is tossed 60 times and the results are recorded in the table Number of die 1 2 ...