What is the n-th term of the sequence 2, 6, 12, 20...?

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

determine the maximum value of y=3x2 2 + 5x - 3

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

Solve the following equation: 2(2r−1) 2 ( 2 r − 1 ) - 53 5 3 = 1(r+2)

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm2 2 , find the distance between the parallel sides

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

Find the derivative of the function y = 2x2 2 (2x - 1) at the point x = -1?

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm3 3 , then the volume of the other block is?