Search over 10,000 free study notes

First you prove the case n=1 is true. Then you assume that n=k is true, then calculate what n=k+1 is. This should prove true, so that by induction, you have proved that the statement is true for all natur...

Here we need to use the formula for the sum of a geometric series up to n terms: s = a*(r^n-1)/(r-1). In this formula, 'a' is the first term of the series, 'r' is the common ratio between each consecutive...

When choosing your question, you must first identify that you are joining a historical debate. History is about interpretation, exploration and analysis not description. This is where you will pick up you...

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols >, ≥, ≤, <. In our question we have to find when function f(x)=3x^2+8x-3 is le...

I would open my teaching of how to answer with this question by inviting the students to consider the structure of the early 16th Century Catholic Church and Papacy, based on the division of power and the...