The sum of the first five terms of the Sum of Geometric Series 3, -9, 27, -81, ... is obtained by simply adding the terms, resulting in 183.
The sum of the first five terms in the geometric series 3, -9, 27, -81, ... can be found by simply adding the terms together.
The series is a geometric progression with a common ratio of -3, since each term is -3 times the previous one.
To find the sum, we add:
3 + (-9) + 27 + (-81) + 243 = 3 - 9 + 27 - 81 + 243
Now, combining the terms we get:
-6 + 27 - 81 + 243 = 183
So, the sum of the first five terms of the series is 183.
The probable question may be:
What is the sum of first five terms in the series
3+(-9)+27+(-81)+..........
A. 61
B. -9
C. 183
D. 243