ProblemSuppose the following sequence:Seq: 1/1 , 1/1x2 , 1/1x2x3 , 1/1x2x3x4 , ....The nth term of this sequence will be −1 / 1*2*3 * ... nWe are required to write a JavaScript function that takes in a number n, and return the sum of first n terms of this sequence.ExampleFollowing is the code − Live Democonst num = 12; const seriesSum = (num = 1) => {    let m = 1;    let n = 1;    for(let i = 2; i < num + 1; i++){       m *= i;       n += (m * -1);    };    return n; }; console.log(seriesSum(num));Output-522956311

ProblemWe are required to write a JavaScript function that lives on the prototype object of the String class.It should take in a string separator as the only argument (although the original split function takes two arguments). And our function should return an array of parts of the string separated and split by the separator.ExampleFollowing is the code − Live Democonst str = 'this is some string'; String.prototype.customSplit = (sep = '') => {    const res = [];    let temp = '';    for(let i = 0; i < str.length; i++){       const el = str[i];     ... Read More

ProblemWe are required to write a JavaScript function that takes in an array of numbers. Our function should construct and return a new array in which each corresponding element is the sum of all the elements right to it (including it) in the input array.ExampleFollowing is the code − Live Democonst arr = [5, 6, 1, 3, 8, 11]; const partialSum = (arr = []) => {    let sum = arr.reduce((acc, val) => acc + val);    const res = [];    let x = 0;    if(arr.length === 0){       return [0];    }    for(let i = 0; i

ProblemWe are required to write a JavaScript function that takes in an array of numbers and a single number as two arguments.Our function should filter the array to contain only those numbers that are divisible by the number provided as second argument and return the filtered array.ExampleFollowing is the code − Live Democonst arr = [56, 33, 2, 4, 9, 78, 12, 18]; const num = 3; const divisibleBy = (arr = [], num = 1) => {    const canDivide = (a, b) => a % b === 0;    const res = arr.filter(el => {       return canDivide(el, num);    });    return res; }; console.log(divisibleBy(arr, num));Output[ 33, 9, 78, 12, 18 ]

ProblemWe are required to write a JavaScript function that takes in an array of integers (negatives and positives).Our function should convert all positives to negatives and all negatives to positives and return the resulting array.ExampleFollowing is the code − Live Democonst arr = [5, 67, -4, 3, -45, -23, 67, 0]; const invertSigns = (arr = []) => {    const res = [];    for(let i = 0; i < arr.length; i++){       const el = arr[i];       if(+el && el !== 0){          const inverted = el * -1;          res.push(inverted);       }else{          res.push(el);       };    };    return res; }; console.log(invertSigns(arr));Output[ -5, -67, 4, -3, 45, 23, -67, 0 ]

ProblemWe are required to write a JavaScript function that takes in a number that specifies speed in kmph and it should return the equivalent speed in cm/s.ExampleFollowing is the code − Live Democonst kmph = 12; const convertSpeed = (kmph) => {    const secsInHour = 3600;    const centimetersInKilometers = 100000;    const speed = Math.floor((kmph * centimetersInKilometers) / secsInHour);    return `Equivalent in cmps is: ${speed}`; }; console.log(convertSpeed(kmph));OutputEquivalent in cmps is: 333

ProblemWe are required to write a JavaScript function that takes in a binary array (consisting of only 0 and 1).Our function should first join all the bits in the array and then return the decimal number corresponding to that binary.ExampleFollowing is the code − Live Democonst arr = [1, 0, 1, 1]; const binaryArrayToNumber = arr => {    let num = 0;    for (let i = 0, exponent = 3; i < arr.length; i++) {       if (arr[i]) {          num += Math.pow(2, exponent);       };       exponent--;    };    return num; }; console.log(binaryArrayToNumber(arr));Output11

ProblemWe are required to write a JavaScript function that takes in two objects both having x and y property specifying two points in a plane.Our function should find and return the distance between those two points.ExampleFollowing is the code − Live Democonst a = {x: 5, y: -4}; const b = {x: 8, y: 12}; const distanceBetweenPoints = (a = {}, b = {}) => {    let distance = 0;    let x1 = a.x,    x2 = b.x,    y1 = a.y,    y2 = b.y;    distance = Math.sqrt((x2 - x1) * 2 + (y2 - y1) * 2);    return distance; }; console.log(distanceBetweenPoints(a, b));Output6.164414002968976

ProblemWe are required to write a JavaScript function that takes in a date object. And based on that object our function should return the astrological sign related to that birthdate.ExampleFollowing is the code − Live Democonst date = new Date(); // as on 2 April 2021 const findSign = (date) => {    const days = [21, 20, 21, 21, 22, 22, 23, 24, 24, 24, 23, 22];    const signs = ["Aquarius", "Pisces", "Aries", "Taurus", "Gemini", "Cancer", "Leo",    "Virgo", "Libra", "Scorpio", "Sagittarius", "Capricorn"];    let month = date.getMonth();    let day = date.getDate();    if(month == 0 && day

ProblemWe are required to write a JavaScript function that takes in three parameters −cap − is the amount of people the bus can hold excluding the driver.on − is the number of people on the bus excluding the driver.wait − is the number of people waiting to get on to the bus excluding the driver.If there is enough space, we should return 0, and if there isn't, we should return the number of passengers we can't take.ExampleFollowing is the code − Live Democonst cap = 120; const on = 80; const wait = 65; const findCapacity = (cap, on, wait) => ... Read More