Question

1). If r is not equal to one, show that a + ar + ar^2+ ....+ ar^n= a( r^n+1 -1)/( r-1).
2). Establish the Bernoulli inequality: If 1+a>0, then ( 1+a)^n >= 1+na.
3). 1^2+ 3^2+ 5^2 +...+ ( 2n-1)^2 = n ( 2n-1)(2n+1)/3

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