Find the 10th partial sum of the arithmetic sequence defined by

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

Where,

Substituting these into the formula, we get the 10th partial sum to be:

So the sum of the first 10 terms is 22.5. Third answer choice is right.

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step-by-step explanation: