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Creating and solving formulas for geometric series:mastery test
Which expression gives the same results as...

Creating And Solving Formulas For Geometric Seriesmastery Test Which Expression Gives The Same Results As class=

Sagot :

Xero099idn

Answer:

D. [tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]

Step-by-step explanation:

Let be [tex]y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right][/tex]. To find the equivalent expression we must use the following property:

[tex]y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)][/tex] (1)

Based on this fact, we find the following equivalence:

[tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]

Hence, the correct answer is D.

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