# How do you find the sum of the infinite geometric series -10,-5,-5/2?

Sum

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To find the sum of an infinite geometric series, use the formula:

[ S = \frac{a}{1 - r} ]

where ( a ) is the first term and ( r ) is the common ratio.

Given the series -10, -5, -5/2, the first term ( a = -10 ) and the common ratio ( r = \frac{-5}{-10} = \frac{1}{2} ).

Substitute these values into the formula:

[ S = \frac{-10}{1 - \frac{1}{2}} = \frac{-10}{\frac{1}{2}} = -20 ]

Therefore, the sum of the infinite geometric series -10, -5, -5/2 is -20.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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