The summation formula represents the series [tex]\sum_{n=0}^3=(-2)^n(12)[/tex]. Then option B is correct.
What is a series?
When the numbers are arranged in a series with some logic then it is called the number series.
The given series is formed as:-
[tex]\sum_{n=0}^3=(-2)^n(12)[/tex].
Put n = 0
[tex]\sum_{n=0}^3=(-2)^0(12)=12[/tex]
Out n = 1
[tex]\sum_{n=0}^3=(-2)^1(12)=-24[/tex]
Put n = 2
[tex]\sum_{n=0}^3=(-2)^2(12)=48[/tex]
Put n = 3
[tex]\sum_{n=0}^3=(-2)^3(12)=-96[/tex]
The series is 12, -24, 48, and -96. Hence, option B is correct.
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