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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
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