Recent content by I'm clever

I was thinking about this today: When a force acts on an object, the object exerts on equal and opposite force - Newton's third law. Imagine this situation: I am breaking down a wall with a hammer. I begin hitting the wall gently and this wall doesn't break. I then hit harder and the force...

Is this right?

\log_2 x + 2\log_2 3 = \log_2 (x+5) Power rule: \log_2 x + \log_2 3^2 = \log_2 (x+5) Addition rule: \log_2 (x \times 3x^2) = \log_2 (x+5) \log_2 3x^2 = \log_2 (x+5)

I'm stuck on these three maths questions. 1) In a geometric progression, the sum to infinity is four times the first term. (i) Show that the common ratio is 3 (ii) Given that the third term is 9, find the first term. (iii) Find the sum of the first twenty terms. 2) Solve the...