# How do you find the partial sum of #Sigma (n+4)/2# from n=1 to 100?

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Another approach using the AP formula:

Write out the first few terms to establish the pattern;

Using the standard AP formula:

We get;

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To find the partial sum of the series Σ((n+4)/2) from n=1 to 100, you can use the formula for the sum of an arithmetic series:

S = (n/2) * (first term + last term)

In this series, the first term (n=1) is ((1+4)/2) = 2.5 and the last term (n=100) is ((100+4)/2) = 52.

Now, plug these values into the formula:

S = (100/2) * (2.5 + 52)

Simplify:

S = 50 * 54.5

S = 2725

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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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