Top answers

What is the sum of the first 100 numbers of the following sequence- 4,12,36, 108, .........

This question is about geometric sequences. The first step in solving this question is identifying that each term is multiplied by 3 to get to the next term.Therefore since the formula for finding the sum of...
HG
Answered by Harry G. • Maths tutor
4097 Views

solve the simultaneous equation 2y + x = 8 and 1 + y = 2x

The aim of the question is to work out the values for x and y in order to make both equation correct. Therefore the best approach is to try to isolate one of the letters first. step 1. rearrange both equatio...
DE
Answered by Dina E. • Maths tutor
5346 Views

A particle of mass m moves from rest a time t=0, under the action of a variable force f(t) = A*t*exp(-B*t), where A,B are positive constants. Find the speed of the particle for large t, expressing the answer in terms of m, A, and B.

First, we need to find a formula for the speed of the particle, v, at a given time, t. Relate the speed, v, to the force f, using Newton's 2nd Law: f(t) = m dv/dt (remembering that acceleration is the time-d...
Answered by • Maths tutor
3312 Views

How can you factorise expressions with power 3 or higher?

The key to factoring big and complicated expressions into simpler forms is to remember the factor theorem . The factor theorem says that if we plug a number k into our expression and it comes out as 0, then ...
CD
Answered by Christopher D. • Maths tutor
4643 Views

Prove by contradiction that there is an infinite number of prime numbers.

The 'by contradiction' tells us we need to assume the opposite to begin with: 1) Let's assume there is a finite number of prime numbers2) Let P be the largest prime number (the last one) 3) if we multiply al...
CL
Answered by Charlotte L. • Maths tutor
20230 Views