Art Text 3 2 6 X 8

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Art Text 3 2 6 X 8 Runner Rugs

Example5.1.1
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  1. Hub DWV and Reducing Schedule 40 PVC 45 Degree Wye. Part #: PDWVYUUM. Add to Cart $ 6 x 6 x 4 in. Hub DWV and Reducing Schedule.
  2. Notice the different uses of X and x. X is the Random Variable 'The sum of the scores on the two dice'.; x is a value that X can take.; Continuous Random Variables can be either Discrete or Continuous.

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What sequence is represented by the generating series (3 + 8x^2 + x^3 + frac{x^5}{7} + 100x^6 + cdotstext{?})

Solution

We just read off the coefficients of each (x^n) term. So (a_0 = 3) since the coefficient of (x^0) is 3 ((x^0 = 1) so this is the constant term). What is (a_1text{?}) It is NOT 8, since 8 is the coefficient of (x^2text{,}) so 8 is the term (a_2) of the sequence. To find (a_1) we need to look for the coefficient of (x^1) which in this case is 0. So (a_1 = 0text{.}) Continuing, we have (a_2 = 8text{,}) (a_3 = 1text{,}) (a_4 = 0text{,}) and (a_5 = frac{1}{7}text{.}) So we have the sequence

Art Text 3 2 6 X 8 9

begin{equation*}3, 0, 8, 1, frac{1}{7}, 100, ldotsend{equation*}

Art Text 3 2 6 X 8 Wood Fence Panel

Art Text 3 2 6 X 8

Note that when discussing generating functions, we always start our sequence with (a_0text{.})