How to determine the rule of a arithmetic sequence given a1 and d

The video tutorial explains how to find the rule for a sequence by plugging in values and applying the distributive property. It starts with an introduction to the sequence rule, followed by a step-by-step process of substituting values to find a sub N. The tutorial then demonstrates the use of the distributive property to simplify the expression, leading to the final expression for a sub N.

What is the initial step in finding the rule for a sequence?

• Identify the first term

• Determine the common difference

• Set up an equation for a sub N

• Find the last term

When plugging in values, what is the unknown variable in the equation?

• a sub 1

• N

• 6

• 2

What mathematical property is applied to simplify the equation?

• Associative Property

• Commutative Property

• Identity Property

• Distributive Property

What is the result of applying the distributive property in this context?

• a sub N = 6 + 2N

• a sub N = 6 - 2N + 2

• a sub N = -2N + 8

• a sub N = 2N - 6

What is the final expression for a sub N after simplification?

• a sub N = 6 + 2N

• a sub N = 6 - 2N + 2

• a sub N = -2N + 8

• a sub N = 2N - 6