The sum of the first six terms of the geometric series is -364.
A geometric series is a sequence of terms in a fixed common ratio.
Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of the rectangle. a and b. May
The series given is
2 – 6 + 18 – 54 + ...
The sum of n terms of a geometric series is given by
Sn=a1 * 1 - rn/1 - r
here the first term is 2
r = -6 /2 = -3
S = 2 (1-(-3)⁶)/(1-(-3))
S = -364
Therefore the sum of the First six terms of the geometric series is -364 .
Learn more about geometric series here:brainly.com/question/24643676
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