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JavaScript Kata #32: Sum of the first nth term of Series

By YayoDrayber | Learn To Code With Me | 12 Sep 2022


If you missed the introductory post, it's here. For a list of previously solved katas, please refer to the bottom of this page.

If this is your first time seeing my post, please note - these katas are probably randomly assigned per user so please don't go into Codewars thinking we will have exactly the same user experience, I am just posting these in the order that I got them.

Kata #32

DESCRIPTION:

Task:

Your task is to write a function which returns the sum of following series upto nth term(parameter).

Series: 1 + 1/4 + 1/7 + 1/10 + 1/13 + 1/16 +...

Rules:

  • You need to round the answer to 2 decimal places and return it as String.

  • If the given value is 0 then it should return 0.00

  • You will only be given Natural Numbers as arguments.

Examples:(Input --> Output)

1 --> 1 --> "1.00"
2 --> 1 + 1/4 --> "1.25"
5 --> 1 + 1/4 + 1/7 + 1/10 + 1/13 --> "1.57"

Starting code:

function SeriesSum(n)
{
  // Happy Coding ^_^
}

My attempt:

function SeriesSum(n){
  let seriesN = 1
  let result = 0
  for(i=0;i<n;i++){
    result += 1/seriesN
    seriesN +=3
  }
  return result.toFixed(2)
}

Rank #1 in 'Best Practice':

function SeriesSum(n) {
  for (var s = 0, i = 0; i < n; i++) {
    s += 1 / (1 + i * 3)
  }
  
  return s.toFixed(2)
}

Rank #2:

function SeriesSum(n) {
  var sum = 0;
  for(var i = 0; i < n; i++) {
    sum += 1 / (3 * i + 1);
  }
  return sum.toFixed(2);
}

Rank #3:

function SeriesSum(n)
{
  for(a=0,i=1;i<=n*3;i+=3) a+=1/i;
  return a.toFixed(2);
}

Rank #4:

function SeriesSum(n, s = 0) {
    return n ? SeriesSum(n - 1, s + 1 / (3 * n - 2)) : s.toFixed(2)
}

Rank #5 with the array conversion and reduce:

function SeriesSum(n) {
  return Array(n).fill(0).map((e, i) => 3 * i + 1).reduce((s, e) => s + 1 / e, 0).toFixed(2);
}

Rank #6:

function SeriesSum(n)
{
  var s = 0;
  while(n) {
    s += 1/(1 + 3 * --n);
  }
  return s.toFixed(2);
}

Not sure what's happening at rank #7 but from what I've skimmed in the resources so far, lodash is a JavaScript library and based on the context, range() is a function from that library which probably works as a replacement for the loop:

const { range } = require('lodash')

const reducer = (a, i) => a + 1 / (1 + i * 3)

const SeriesSum = (n) => range(n).reduce(reducer, 0).toFixed(2)

Way down at rank #8 is the one-liner by user e.mihaylin:

SeriesSum = n => Array.from(Array(n), (e, i) => 1 / (i * 3 + 1)).reduce((s, e) => s + e, 0).toFixed(2);

Thanks to this challenge, I am now at 6 kyu. Feels like I'm getting closer and closer to my goal yet I don't feel any smarter. 🤣

That's it for Kata #32, stay tuned for more katas to be solved!

Link to Kata #1: Square(n) Sum

Link to Kata #2: Convert a Number to a String

Link to Kata #3: DNA to RNA Conversion

Link to Kata #4: Remove First and Last Character

Link to Kata #5: MakeUpperCase

Link to Kata #6: Total amount of points

Link to Kata #7: A Needle in the Haystack

Link to Kata #8: Sum of positive

Link to Kata #9: Basic Mathematical Operations

Link to Kata #10: Beginner - Reduce but Grow

Link to Kata #11: Square Every Digit

Link to Kata #12: Friend or Foe?

Link to Kata #13: Grasshopper - Summation

Link to Kata #14: Get the Middle Character

Link to Kata #15: Descending Order

Link to Kata #16: String ends with?

Link to Kata #17: Sum of two lowest positive integers

Link to Kata #18: Sum of odd numbers

Link to Kata #19: Find the next perfect square!

Link to Kata #20: Reversed Strings

Link to Kata #21: Jaden Casing Strings

Link to Kata #22: Even or Odd

Link to Kata #23: Returning Strings

Link to Kata #24: Opposite number

Link to Kata #25: Are You Playing Banjo?

Link to Kata #26: Beginner Series #1 School Paperwork

Link to Kata #27: Remove String Spaces

Link to Kata #28: Invert values

Link to Kata #29: Count by X

Link to Kata #30: Beginner Series #2 Clock

Link to Kata #31: Is this a triangle?

Resources

  1. https://www.publish0x.com/learn-to-code-with-me/obligatory-introductory-post-xddgyxl
  2. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-1-squaren-sum-xvmywpl
  3. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-2-convert-a-number-to-a-string-xmymkwm
  4. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-3-dna-to-rna-conversion-xgjlpox
  5. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-4-remove-first-and-last-character-xyeyykj
  6. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-5-makeuppercase-xzgnnqd
  7. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-6-total-amount-of-points-xeellvx
  8. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-7-a-needle-in-the-haystack-xlqzzgp
  9. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-8-sum-of-positive-xxzyyrl
  10. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-9-basic-mathematical-operations-xlqzzer
  11. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-10-beginner-reduce-but-grow-xxzyylv
  12. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-11-square-every-digit-xnnxxyr
  13. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-12-friend-or-foe-xddggmm
  14. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-13-grasshopper-summation-xnnxxwr
  15. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-14-get-the-middle-character-xrgnney
  16. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-15-descending-order-xmymmwn
  17. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-16-string-ends-with-xeelnpk
  18. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-17-sum-of-two-lowest-positive-integers-xjroxpn
  19. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-18-sum-of-odd-numbers-xeelnwk
  20. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-19-find-the-next-perfect-square-xozowvo
  21. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-20-reversed-strings-xvmyqyn
  22. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-21-jaden-casing-strings-xwywdwd
  23. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-22-even-or-odd-xwywdvd
  24. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-23-returning-strings-xeelxvw
  25. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-24-opposite-number-xxzyerp
  26. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-25-are-you-playing-banjo-xjrowyk
  27. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-26-beginner-series-1-school-paperwork-xxzyelp
  28. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-27-remove-string-spaces-xjrowqk
  29. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-28-invert-values-xnnxgwx
  30. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-29-count-by-x-xyeyzjz
  31. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-30-beginner-series-2-clock-xddgwmj
  32. https://www.publish0x.com/learn-to-code-with-me/javascript-kata-31-is-this-a-triangle-xjrowxk

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YayoDrayber
YayoDrayber

A Yayo, A Drayber, among others.


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