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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 series:mastery test Which expression gives-example-1
User Mtrovo
by
7.5k points

1 Answer

2 votes

Answer:

D.
y = 5\cdot \Sigma_(i=0)^(4) \left((1)/(3) \right)^(i)

Explanation:

Let be
y = \Sigma_(i = 0)^(4) \left[5\cdot \left((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((1)/(3) \right)^(i)

Hence, the correct answer is D.

User Bolanle
by
7.2k points
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