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 numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026