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Express 361 as sum of 19 odd numbers?
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Express 361 as sum of 19 odd numbers?
Expressing 361 as a Sum of 19 Odd Numbers
To express 361 as a sum of 19 odd numbers, we need to follow the steps below:
- Find the average of the 19 odd numbers.
- Multiply the average by 19 to get the sum of the 19 odd numbers.
- Express the sum as a series of consecutive odd numbers, starting from the smallest odd number.
Finding the Average of 19 Odd Numbers
The average of a set of numbers is found by dividing the sum of the numbers by the total number of numbers. In this case, we have 19 odd numbers that we want to sum up to 361.
Since the sum of the 19 odd numbers is equal to 361, the average can be calculated as:
Average = Sum of the 19 odd numbers / 19 = 361 / 19 = 19
Therefore, the average of the 19 odd numbers is 19.
Multiplying the Average by 19 to Get the Sum
To get the sum of the 19 odd numbers that add up to 361, we can simply multiply the average (which we calculated to be 19) by the number of odd numbers (which is 19).
Sum of the 19 odd numbers = Average x Number of odd numbers = 19 x 19 = 361
Therefore, the sum of the 19 odd numbers is 361.
Expressing the Sum as a Series of Consecutive Odd Numbers
Now that we know the sum of the 19 odd numbers is 361, we can express it as a series of consecutive odd numbers starting from the smallest odd number.
To do this, we can use the formula for the sum of the first n odd numbers, which is:
Sum of first n odd numbers = n^2
Starting from the smallest odd number, we can express 361 as a sum of 19 consecutive odd numbers as follows:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 = 361
Therefore, 361 can be expressed as the sum of 19 odd numbers as shown above.
Community Answer
Express 361 as sum of 19 odd numbers?
1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37
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Express 361 as sum of 19 odd numbers?
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Express 361 as sum of 19 odd numbers? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Express 361 as sum of 19 odd numbers? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 361 as sum of 19 odd numbers?.
Express 361 as sum of 19 odd numbers? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Express 361 as sum of 19 odd numbers? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 361 as sum of 19 odd numbers?.
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