Consider a sequence of numbers $\style{font-family:'Times New Roman'}{a_1,a_2,\;a_3,......,\;a_n}$ where $a_n=\frac1n-\frac1{n+2}$ for each integer $\style{font-family:'Times New Roman'}{n>0}$. What is the sum of the first 50 terms?
Which one of the following matrices is singular?
For the given orthogonal matrix Q,
$\style{font-family:'Times New Roman'}{Q=\begin{bmatrix}3/7&2/7&6/7\\-6/7&3/7&2/7\\2/7&6/7&-3/7\end{bmatrix}}$
The inverse is
At the point x = 0, the function f(x) = x^{3} has
A steel column of ISHB 350 @72.4 kg/m is subjected to a factored axial compressive load of 2000 kN. The load is transferred to a concrete pedestal of grade M20 through a square base plate. Consider bearing strength of concrete as $0.45f_{ck}$, where $ f_{ck} $ is the characteristic strength of concrete. Using limit state method and neglecting the self weight of base plate and steel column, the length of a side of the base plate to be provided is
The Le Chatelier apparatus is used to determine
The deformation in concrete due to sustained loading is