Tabitha2002 Tabitha2002

24-04-2018
Mathematics

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Find the sum of the first 5 terms of the geometric series -2, -6, -18, …

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Banabanana Banabanana

24-04-2018

a₁ = -2
a₂ = -6

[tex]r= \frac{a_2}{a_1}= \frac{-6}{-2} =3 \\ \\ \\ S_5= \cfrac{a_1(1-r^5)}{1-r}= \cfrac{-2(1-3^5)}{1-3}=\cfrac{-2(1-243)}{-2}=1-243=-242[/tex]

Answer: -242

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