math 2 subject test question question from sparknotes

<p>x<em>3 = 4
x</em>4 = 6</p>

<p>x<em>4 = x</em>2 + 4
6 = x<em>2 + 4
x</em>2 = 2</p>

<p>x<em>3 = x</em>1 + 4
4 = x<em>1 + 4
x</em>1 = 0</p>

<p>x<em>1 = 0; x</em>2 = 2; x<em>3 = 4; x</em>4 = 6
this is an arithmetic progression with the first term(a) = 0 and common difference(d) = 2</p>

<p>x_n = a + (n-1)d
= 0 + 2(n-1)</p>

<p>x_2 = 2</p>

<p>x<em>n / x</em>2 = 2(n-1)/2 = n-1</p>