From the odd-degree terms, take out one copy and rewrite the series as


Then if |<em>x</em>| < 1, we can condense this to

Since the series we invoked here converge on -1 < <em>x</em> < 1, so does this one.
Answer:
25/72
Step-by-step explanation:
P( blue) = blue / total = 4/12 = 1/3
P ( blue, blue) = 1/3 * 1/3 = 1/9
P ( red) = red / total = 5/12
P ( red, red) = 5/12 * 5/12 = 25/144
P ( green) = green /total = 3/12 =1/4
P ( green , green) = 1/4 * 1/4 = 1/16
Add these together to get
P( same colour twice) = 1/9+ 25/144 + 1/16
=16/144 + 25/144 + 9/144
=50/144
=25/72
Answer: [<em>b + 4 = -10</em>]
Step-by-step explanation: We are given the equation <em>b = -14</em> and told to, given this information, evaluate <em>b + 4 = ?</em> and find <em>?.</em> Given b = -14 we can plug in <em>-14</em> for <em>b</em> in <em>b + 4 = ?</em>. This gives us <em>-14 + 4 = ?.</em> Adding this up gives us the answer of -10. Hope that this makes sense and helps, and good afternoon to you!
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