1st odd number . . . 1 (1 less than double 1)
2nd odd number . . . 3 (1 less than double 2)
3rd odd number . . . 5 (1 less than double 3)
4th odd number . . . 7 (1 less than double 4)
5th odd number . . . 9 (1 less than double 5)
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6th odd number . . . 11 (1 less than double 6)
7th odd number . . . 13 (1 less than double 7)
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Qth odd number . . . . (1 less than double Q)
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199
Simplify the problem. What is the fifth odd number. 1, 3, 5, 7, 9. 9 is the fifth odd number.Similarly for the 100th odd number. In the number 200, there is an equal count of even and odd.And since the first number is odd, then the number 199 is the 100th odd number.
199 The first odd number is 1 The second odd number is 3 The rth odd number is thus 2r - 1 Thus the 100th odd number is 2 x 100 - 1 = 199.
The number of odd numbers in the Nth row of Pascal's triangle is equal to 2^n, where n is the number of 1's in the binary form of the N. In this case, 100 in binary is 1100100, so there are 8 odd numbers in the 100th row of Pascal's triangle.
The 100th Fibonacci number is 354,224,848,179,261,915,075.