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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...

HG
Answered by Harry G. Maths tutor
3171 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 equa...

DE
Answered by Dina E. Maths tutor
4540 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) = mdv/dt (remembering that acceleration is t...

Answered by Maths tutor
2740 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 ...

CD
Answered by Christopher D. Maths tutor
3455 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...

CL
Answered by Charlotte L. Maths tutor
16981 Views

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