Respuesta :
Answer:
-364
Step-by-step explanation:
Each number is being multiplied by -3
2 , -6 , 18 , -54 , 162 , -486
Add them all up
-364
The sum of First six terms of the geometric series is -364 .
What is a Geometric Series ?
A geometric series is a sequence of terms in a fixed common ratio.
The series given is
2 – 6 + 18 – 54 + ...
The sum of n terms of a geometric series is given by
[tex]\rm S_n = a_1\dfrac{1- r^n}{1-r}[/tex]\
here first term is 2
r = -6 /2 = -3
S = 2 (1-(-3)⁶)/(1-(-3))
S = -364
Therefore the sum of First six terms of the geometric series is -364 .
To know more about Geometric Series
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