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FORMULA: f(n) = n(n+1)/2 + 1f(50) = 50(50+1)/2 + 1 = 50 x 51/2 + 1 = 50 x 25.5 + 1 = 1,275 + 1 = 1,276
A maximum!A maximum!A maximum!A maximum!
It usually is, as in maximum speed or maximum occupancy. But it can be a noun, meaning a maximum value or number, as in math or astronomy (the solar maximum).
If you have two pairs of numbers whose sum is the same, their product increases as the two numbers get nearer to half the sum. The product is a maximum at that value. 70 * 30 = (50+20)*(50-20) The right hand side is the factorisation of the difference of two squares, and can be shown to be equal to 502 - 202 Since 202 must be positive (it is a square), 70*30 must be less. For all values of x, (50+x)*(50-x) is less than or equal to 50*50=2500 with equality attained only when x = 0.
there is no maximum mass