mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Factorial pattern

$$1\times1!=2!-1$$ $$1\times1!+2\times2!=3!-1$$ $$1\times1!+2\times2!+3\times3!=4!-1$$
Does this pattern continue?

Show answer

If you enjoyed this puzzle, check out Sunday Afternoon Maths LVIII,
puzzles about factorials, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

probability fractions planes mean surds quadrilaterals symmetry cryptic clues irreducible numbers averages parabolas floors sum to infinity differentiation 3d shapes binary indices folding tube maps factorials ellipses square numbers shapes dodecagons algebra elections prime numbers tangents chess tiling cubics dates digits clocks square roots trigonometry circles coins grids chalkdust crossnumber chocolate cryptic crossnumbers sums people maths wordplay percentages albgebra gerrymandering partitions pentagons geometric means cube numbers time speed median crossnumbers decahedra digital clocks coordinates addition 2d shapes menace dominos routes complex numbers angles probabilty balancing taxicab geometry combinatorics graphs axes lines arrows multiples polygons volume numbers grids squares proportion geometry numbers digital products remainders determinants multiplication even numbers matrices number colouring books sport games pascal's triangle consecutive integers doubling sequences consecutive numbers geometric mean factors range palindromes powers spheres neighbours medians rectangles crosswords integration sets expansions dice functions means triangle numbers products odd numbers bases tournaments regular shapes perimeter advent triangles money scales shape polynomials integers quadratics ave square grids unit fractions perfect numbers star numbers cards hexagons the only crossnumber area calculus division logic christmas rugby

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025