Question

Creating and solving formulas for geometric series:mastery test

Which expression gives the same results as...

Answer 1

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.