Let's hope it's a good one for all of us, and that those who plan to unleash yet more Evil Knavish Tricks on the world are duly thwarted, frustrated, and confounded.
Let's hope it's a good one for all of us, and that those who plan to unleash yet more Evil Knavish Tricks on the world are duly thwarted, frustrated, and confounded.
Amen! Good Lord, deliver us! And New Year blessings to us all!
Happy New Year to all, whether you’re halfway through the first day or still waiting for the year to start. We watched the Sydney fireworks on the TV. The midnight ones were very spectacular!
Happy New Year to all Shippies from another scorcher of a day in South Africa's Overberg. Wildfires still burning in the mountains, but radiant blue skies and the wind has dropped at last. Hoping for a peaceful and safe 2025 for all of us in the southern hemisphere!
2025 will be a square year and we will have to wait another 91 years until the next one. Have a good one, one and all.
Even better; 2025 = (20+25)² is a "perfect square" year. It is the square of the sum of all the digits of the decimal numbering system:
(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)² = 2025.
It also happens to be the sum of the cubes of all the digits of the decimal numbering system:
0³ + 1³ + 2³ + 3³ + 4³ + 5³+ 6³ + 7³ + 8³ + 9³ = 2025.
Darda has provided an example of a standard identity: for any positive integer N, the sum of the cubes of 1 through N = the square of the sum of 1 through N.
Darda has provided an example of a standard identity: for any positive integer N, the sum of the cubes of 1 through N = the square of the sum of 1 through N.
Darda has provided an example of a standard identity: for any positive integer N, the sum of the cubes of 1 through N = the square of the sum of 1 through N.
Comments
Ooo... my students will like that fact! Happy 2025!
Let's hope it's a good one for all of us, and that those who plan to unleash yet more Evil Knavish Tricks on the world are duly thwarted, frustrated, and confounded.
Amen! Good Lord, deliver us! And New Year blessings to us all!
Even better; 2025 = (20+25)² is a "perfect square" year. It is the square of the sum of all the digits of the decimal numbering system:
(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)² = 2025.
It also happens to be the sum of the cubes of all the digits of the decimal numbering system:
0³ + 1³ + 2³ + 3³ + 4³ + 5³+ 6³ + 7³ + 8³ + 9³ = 2025.
Happy 2025!
Huia - the mathematically challenged.
Thank you! I hadn't realised that.