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Nady [450]
2 years ago
15

What common ratio would cause a geometric series to converge

Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0

Answer:0

Step-by-step explanation:

The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

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∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

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- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

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Step-by-step explanation:

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