1.An arithmetic sequence is given by 5, 8, 11, ….
(a) Write down the value of d .
(i) 100 u ;
(ii) 100 S .
(c) Given that 1502 n u = , find the value of n .
2.Consider the following cumulative frequency table.
(a) Find the value of p .
(i) the mean;
(ii) the variance.
(a) Write down the value of p , of q and of r .
(b) Find the coefficient of the term in x5 .
4.Consider the system of equations
(a) (i) Write down the matrix A .
(ii) Write down the matrix A−1 .
(b) Hence, find X .
5.The velocity of a particle in ms−1 is given by v = esint −1, for 0 ≤ t ≤ 5.
(a) On the grid below, sketch the graph of v .
(b) (i) Write down the positive t-intercept.
(ii) Find the total distance travelled by the particle in the first five seconds.