The sum of first ‘n’ odd natural numbers is ……….
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Hence this series is an Arithmetic Progression. First term of this sequence is 1 and the common difference is 2. So we get our sequence is arithmetic progression with a = 1 and d = 2. Hence the sum of the first n odd natural number is n2.
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To find the sum of first n odd numbers we can apply odd number theorem, it states that the sum of first n odd numbers is equal to the square of n. if we apply odd number theorem: sum of first 10 odd numbers = n * n = 10 * 10 = 100.
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