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Show the sum from n=0 to 200 of x^n given that x is not 1, is (1-x^201)/(1-x) hence find the sum of 1+2(1/2)+3(1/2)^2+...+200(1/2)^199

Let the first term of a geometric progression be 'A', define the geometric sum, which we will call 'S', of 'Ax^n' for each integer n to be the sum from n=0 to r of 'Ax^n'. Hence S=A+Ax+Ax^2+...+Ax^r. Cons...

Answered by Jordan B. • Maths tutor

3061 Views

How do i find 30% of 70?

To begin with we need to understand what a percentage is. It is simply a proportional that shows a number as parts of a hundred. So 30% is the same as saying 30/100 which can be simplified by dividing the...

Answered by Kevin R. • Maths tutor

137835 Views

How to integrate lnX?

Firstly I would ask the student what different ways of integration do we know so far? After eliminating each possibility, such as the answer is not XlnX, as this differentiates via product rule, the stude...

Answered by Siam R. • Maths tutor

3590 Views

Work out the area of this triangle given the lengths of 1 sides (a) and 2 angles (A and B) using either the sine rule

We know the area of any triangle is equal to 0.5abSin(C). This means we need to find the length of side b and the angle C.First we can work out the angle C of the triangle as we know the angles in a trian...

Answered by Risha A. • Maths tutor

3867 Views