Question

Creating and solving formulas for geometric series:mastery test

Answer 1

Answer:

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

Step-by-step explanation:

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

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

Based on this fact, we find the following equivalence:

$y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}$

Hence, the correct answer is D.