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The nth term of a linear sequence is a form of an+b where a and b are constants. 1. Find the difference between each term and the next. That is -3-(-6)=3 0-(-3)=3 3-0=3 6-3=3 9-6=3 2. The terms increase by 3 each, so the nth term formula must include the term '3n'. So the complete formula for the nth term will be '3n+b'. b is the number we need to find. 3. Use the 1st term (that is -6) to find b. For the 1st term that is n=1 using the nth term formula '3n+b'. n=1 => 3(1) + b = -6 => 3 + b = -6 => b = -6 - 3 => b = -9 So the complete nth term is '3n - 9'
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