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.
25, 36, 49, 64
It is: 49 because 7*7 = 49
Square numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, 100