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Finding value of a sequence for numbers in JavaScript
Problem
Consider the following sequence sum −
$$seq(n,\:p)=\displaystyle\sum\limits_{k=0} \square(-1)^{k}\times\:p\:\times 4^{n-k}\:\times(\frac{2n-k}{k})$$
We are required to write a JavaScript function that takes in the numbers n and p returns the value of seq(n, p).
Example
Following is the code −
const n = 12;
const p = 70;
const findSeqSum = (n, p) => {
let sum = 0;
for(let k = 0; k <= n; k++){
const power = k % 2 === 0 ? 1 : -1;
const fourPower = Math.pow(4, (n - k));
const multiplier = ((2 * n) - k) / (k || 1);
const term = (power * p * fourPower * multiplier);
sum += term;
};
return sum;
};
console.log(findSeqSum(n, p));Output
Following is the console output −
22131141616.42424
Updated on: 20-Apr-2021
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