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Nonamiya [84]
3 years ago
8

What is the value of i=

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

\sum\limits_{t=1}^3\left(4\cdot\left(\dfrac{1}{2}\right)^{t-1}\right)=4\cdot\left(\dfrac{1}{2}\right)^{1-1}+4\cdot\left(\dfrac{1}{2}\right)^{2-1}+4\cdot\left(\dfrac{1}{2}\right)^{3-1}\\\\=4\cdot\left(\dfrac{1}{2}\right)^0+4\cdot\left(\dfrac{1}{2}\right)^1+4\cdot\left(\dfrac{1}{2}\right)^2=4\cdot1+4\cdot\dfrac{1}{2}+4\cdot\dfrac{1}{4}\\\\=4+2+1=7\\\\Answer:\ \boxed{D.\ 7}

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asambeis [7]

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Step-by-step explanation:

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Hint: | Find the roots of each term in the product separately.

Split into two equations:

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Hint: | Factor the left-hand side.

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Hint: | Look at the third equation: Solve for x.

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