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

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

Archive

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