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To show this we should consider when n is odd and when n is even,If n is odd then we can find an m such that n=2m+1. Substituting n=2m+1 and expanding gives 8m^3+12m^2+6m+1+12m^2+12m+3+4m+2+1=8m^3+24m^2+2...

I haven't yet figured out how to write in proper mathematical notation on here, and my drawing pad is yet to arrive, so please forgive the formatFirst, the formula for the volume of revolution is V= pi *...

5kg bag of sweets split into bags of 250g. Convert 5kg to grams which equals 5000By dividing the weight of each bag you can figure out how many bags she can make are 20 bags as 5000/250 = 20. She sells ea...

The basic equation of a line is I=the general form y = mx + c. Where c is a constant and m is the gradient of the lineFor lines to be parallel they must have the same gradient, then they will never crossT...

Having learned a lot about the arithmetic and geometric sequences, most people are used to expressing the n^th term of a sequence un in the form u_n=u₁+d(n-1) for the arithm...