999999964 999999964

26-05-2021
Mathematics

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Evaluate each series.
50 points and brainless!

Evaluate each series 50 points and brainless class=

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Respuesta :

mhanifa mhanifa

27-05-2021

Answer:

Sum of n terms of a GP:

Sₙ = a₁(rⁿ - 1)/(r - 1)

#1

a₁ = 5
r = 2
n = 9
S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555

Correct choice is C

-----------------------------

#2

a₁ = 12
r = 1/2
n = 5
S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25

Correct choice is A

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