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Consider the arithmetic sequence 5,7,9,11, …. Derive a formula for (i) the nth term and (ii) the sum to n terms. (iii) Hence find the sum of the first 20 terms.

We can easily identify the first term (5)

The common difference can be found by subtracting the nth term from the (n+1)th term

7-5=9-7=11-9=2

Therefore:

U...

JN
Answered by Jan Niklas F. Maths tutor
6751 Views

Differentiate y=(3x-1)/(2x-1)

First, recognise that the function is a fraction and recall the quotient rule.     y=u/v     dy/dx=(vu'-uv')/v2, where u' and v' is the derivative...

MM
Answered by Martin M. Maths tutor
7046 Views

Rationalise the following: { 5 } / { 3 - sqrt(2) }

The aim here is to turn the fraction so that the denominator does not have a surd. 

Given that we know that any surd squared is equal to the number itself, i.e sqrt(2) * sqrt(2) eq...

AS
Answered by Amin S. Maths tutor
5565 Views

Solve the equation: x^2 + 9x + 20 = 0

This is a quadratic equation. There are different ways to solve quadratic equations including factorising them and using the quadratic formula. This is a simple equation so it cn be solved by factorising....

FM
Answered by Francesca M. Maths tutor
8244 Views

What is 3/5 of 65.

Break this question into 2.

  1. Divide 65 by 5 = 13

  2. 13 x 3 = 39

AA
Answered by Alice A. Maths tutor
11652 Views

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