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Which of the following is the correct expanded form for the series below? S=4, n=0, -2^n

Question

Which of the following is the correct expanded form for the series below? S=4, n=0, -2^n

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Solution

The series is defined as S = 4, n = 0, -2^n. This means that the series starts at n = 0 and each term is given by the formula -2^n.

The expanded form of the series would be:

When n = 0, the term is -2^0 = 1. When n = 1, the term is -2^1 = -2. When n = 2, the term is -2^2 = 4. When n = 3, the term is -2^3 = -8. And so on...

So, the expanded form of the series is: 1, -2, 4, -8, ...

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