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Why is it that the sum of all natural numbers up to n is 1/2(n)(n+1)?

First let's consider the case of even numbers. Suppose n is even, then it must be double some other number, so we have:
n = 2k
Where k is another natural number. We want to find out what:
1...

IM
Answered by Ibrahim M. Maths tutor
3603 Views

Bob buys a car for £120 after it is reduced by 20% in the sale. What was the original price of the car?

£120 is the price of the car after it has been reduced by 20%. This means that £120 is equal to 80% of the original price.2 ways to work this out:1) £120 = 80 % £ ? =100%therefore: £? = (120 x 10...

MP
Answered by Mary P. Maths tutor
4679 Views

what factors determine enzyme activity?

several factors play a role in the rate of an enzyme catalysed reaction. substrate concentration: The amount of substrate in the solution. The higher the concentration of substrate the mo...

JL
Answered by Jack L. Biology tutor
3098 Views

How can I solve reverse percentage questions?

A bag in a sale is reduced by 20%. It now costs £40. What was the original price? Solution 1: Using ratios and basic percentagesA good way to solve this problem is by thinking about what percentage is lef...

MB
Answered by Madeleine B. Maths tutor
3969 Views

Expand (2x-1)(x+3)

Method 1: Foil method (each term of the first bracket are multiplied by each term of the second bracket, and hence the product have 4 terms before simplifying)(2x-1)(x+3) = 2xx + 2x3 - 1x -1<...

CN
Answered by Cherish N. Maths tutor
12020 Views

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