49, 36, 25 and 64 are all squares of whole numbers.
64 = 82
49 = 72
36 = 62
25 = 52
The square root of 72 is not a whole number, but approximately 8.48.
Thus 72 is the "odd one out".
Square numbers 16, 25, 36, 49, 64, 81, 100
101
The perfect squares in the range are 25, 36 and 49.
1 + 4 + 16 + 25 + 36 + 49 = 131
.... 49, 36, 25, 16, 9, 4 and 1
Square numbers 16, 25, 36, 49, 64, 81, 100
The difference is an odd number (2n+1), as shown from (n+1)² = n² + 2n + 1, which as you can see is a linear progression of odd numbers, either n or (n+1) being odd. 4-1 = 3 9-4 = 5 16-9 = 7 25-16 = 9 36-25 = 11 49-36 = 13 64-49 = 15 81-64 = 17 The difference between any two ODD squares is always a multiple of 8, where for an odd n, and odd n+2, the difference in their squares is the sum of the two intervening differences, and can be expressed as 4n+4. 1) 9-1 = 8 3) 25- 9 = 16 5) 49-25 = 24 7) 81-49 = 32
Square numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
101
There are 48/2 + 1 = 25 odd numbers in 1 to 49, inclusive.
The perfect squares in the range are 25, 36 and 49.
It is: 36
56, the rest are all square numbers, a number you get when you multiply a number by itself. 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36 7 x 7 = 49 but 56 isn't a square number.
It is: 49 because 7*7 = 49
Square numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
They have to be squares. So, the numbers are 1, 4, 9, 16, 25, 36 and 49