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Question: Which of the following best represents the arithmetic series in sigma notation?
12 + 24 + 36 + 48 +
...
+ 72
A )
∑
n=6
12
12
n
B )
∑
n=1
6
12
n
C )
∑
n=1
12
6
n
D )
∑
n=1
6
24
n
Steps to derive
1
The general formula for the terms of the series is
12
n
.
2
The range is
n
= 1 to 6.
3
The sigma notation that best represents the arithmetic series is
∑
n=1
6
12
n
.
Hence the right answer is Option B
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