The average of 101 consecutive odd numbers is 303. Find the largest number.

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Accepted Answer

In a series of consecutive odd numbers, the **average** of the series is the **middle number**.

#### Step 1: Identify the Middle Number
Since there are 101 numbers in the series, the middle number is the **51st number**, which is given as **303**.

#### Step 2: Find the Largest Number
To find the largest number in this sequence, count **50 steps forward** (each step being an increment of 2):  
$$
	ext{Largest number} = 303 + (50 	imes 2) = 303 + 100 = 403.
$$

#### Final Answer:
The largest number in this series is **403**.

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