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What is the 36th odd number?

71 is the 36th odd number. To find the "nth" odd number, multiply the term number (ex: 36) by two, then subtract one.


What is the same as odd?

The term "odd" can be synonymous with "unusual" or "strange," indicating something that deviates from the norm. In a mathematical context, "odd" refers to integers that are not divisible by 2, such as 1, 3, and 5. Additionally, in some contexts, "quirky" or "eccentric" can also convey a similar meaning to odd.


What is the average of first 2000 odd natural numbers?

The first 2000 odd natural numbers form an arithmetic sequence where the first term is 1 and the common difference is 2. The nth odd number can be expressed as (2n - 1). Therefore, the 2000th odd number is (2 \times 2000 - 1 = 3999). The average of these numbers is given by the formula for the average of an arithmetic sequence, which is ((\text{first term} + \text{last term}) / 2), resulting in ((1 + 3999) / 2 = 2000).


Is the square of an odd integer odd?

Yes. Any odd integer, k, is of the form 2n+1 where n is an integer. then k2 = (2n + 1)2 = 4n2 + 4n + 1. The first two terms are even so the three-term total must be odd.


What is the nth term of 13579?

The sequence 13579 consists of the first five odd numbers. To find the nth term of this sequence, you can use the formula ( a_n = 2n - 1 ), where ( n ) is the term number. Thus, for any positive integer ( n ), the nth term will be the ( n )th odd number. For example, when ( n = 1 ), ( a_1 = 1 ); when ( n = 2 ), ( a_2 = 3 ); and so on.