JavaScript/Maths/FigurateNumber.js at master · flexycode/JavaScript · GitHub

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/**
 Problem Statement and Explanation :
 Triangular => https://en.wikipedia.org/wiki/Triangular_number
 Tetrahedral => https://en.wikipedia.org/wiki/Tetrahedral_number
 Pentatope => https://en.wikipedia.org/wiki/Pentatope_number

 Example:
 Triangular => (0, 1, 3, 6, 10, 15, 21, 28, 36, 45)
 Tetrahedral => (1, 4, 10, 20, 35, 56, 84, 120, 165,)
 Pentatope => (1, 5, 15, 35, 70, 126, 210, 330, 495)
 */

/**
 *
 * @param {*} number
 * @returns
 */
constisTriangular=(number)=>{
for(leti=0;i<=number;i++){
if((i*(i+1))/2===number){
returntrue
}elseif((i*(i+1))/2>number){
returnfalse
}
}
returnfalse
}

/**
 *
 * @param {*} number
 * @returns
 */
constisTetrahedral=(number)=>{
for(leti=1;i<=number;i++){
if((i*(i+1)*(i+2))/6===number){
returntrue
}elseif((i*(i+1)*(i+2))/6>number){
returnfalse
}
}
returnfalse
}
/**
 *
 * @param {*} number
 * @returns
 */
constisPentatope=(number)=>{
for(leti=1;i<=number;i++){
if((i*(i+1)*(i+2)*(i+3))/24===number){
returntrue
}elseif((i*(i+1)*(i+2)*(i+3))/24>number){
returnfalse
}
}
returnfalse
}

/**
 *
 * @param {*} number
 * @returns
 */
constcheckAll=(number)=>{
return{
isTriangular: isTriangular(number),
isTetrahedral: isTetrahedral(number),
isPentatope: isPentatope(number)
}
}
export{isTriangular}
export{isTetrahedral}
export{isPentatope}
export{checkAll}