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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the sum of the first six terms of the geometric series? 2 - 6 + 18 - 54 + …
Solution:
In the given geometric series
The first term “a” = 2
The common ratio r = -3
And the sum of n terms of the series is equal to
Sn = a(rn - 1) / (r - 1) I r I > 0
Sn = 6
= (2) [(-3)6 - 1] / (-3 - 1)
= (2) [729 - 1] / (-4)
= 728 / (-2)
= -364
Hence, the required value is - 364.
What is the sum of the first six terms of the geometric series?
2 - 6 + 18 - 54 + …
Summary:
The sum of the first six terms of the above geometric series is -364.
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