exam Maths Puzzle Numerical Ability

Can someone, please, show why is this equation true:


{{{sum((matrix (2, 1, n+i, i)), i=0, k) = (matrix (2, 1, n+k+1, k))}}}


Thanks!

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exam Other Question

I need help with the following question. The problem needs to be solved using subsitution. The answer that I got does not agree with the answer in the book.

y=x^2
x^2+y^2=1
What amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? what equation or equations will express this problem? I was thinking it would be this equation: 0.95x+0.15x=0.45