# Function

A **function f(x)** has the following properties:

i) f(1) = 1

ii) f(2x) = 4f(x) + 6

iii) f(x + 2) = f(x) + 12x + 12

Calculate f(6) !

**Solution ?**

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November 7, 2010 | Filed Under Math | Leave a Comment

# Arithmetic Sequence

Can you solve the following arithmetic sequence?

Determine the value of 10^{2} – 9^{2} + 8^{2} – 7^{2} + 6^{2} – 5^{2} + 4^{2} – 3^{2} + 2^{2} – 1^{2
}

Answer ?

November 7, 2010 | Filed Under Math | 6 Comments