Mathematical Algorithms | Series


Recent Articles on Series !

  1. Juggler Sequence
  2. Padovan Sequence
  3. Aliquot Sequence
  4. Moser-de Bruijn Sequence
  5. Stern-Brocot Sequence
  6. Newman-Conway Sequence
  7. Sylvester’s sequence
  8. Recaman’s sequence
  9. Abundant Number
  10. Hexagonal Number
  11. Emirp numbers
  12. Carol Number
  13. Kaprekar Number
  14. Keith Number
  15. N’th Smart Number
  16. Disarium Number
  17. Carmichael Numbers
  18. Tetrahedral Numbers
  19. Undulating numbers
  20. Nonagonal number
  21. Münchhausen Number
  22. Ludic Numbers
  23. Leyland Number
  24. N-th polite number
  25. Centered hexagonal number
  26. Decagonal Numbers
  27. Octagonal number
  28. Woodall Number
  29. Vampire Number
  30. Happy Numbers
  31. Tribonacci Numbers
  32. Taxicab Numbers
  33. Pell Number
  34. Demlo number (Square of 11…1)
  35. Rectangular (or Pronic) Numbers
  36. Hailstone Numbers
  37. Program for Perrin numbers
  38. Reversible numbers
  39. Sum of Perrin Numbers
  40. Equidigital Numbers
  41. Lucas Numbers
  42. Lucky Numbers
  43. Program to find Star number
  44. Program to find Cullen Number
  45. Nicomachu’s Theorem
  46. Nicomachus’s Theorem (Sum of k-th group of odd positive numbers)
  47. Sum of pairwise products
  48. Squared triangular number (Sum of cubes)
  49. Square pyramidal number (Sum of Squares)
  50. Program to print the sum of the given nth term
  51. Sum of series with alternate signed squares of AP
  52. Program for sum of cos(x) series
  53. Sum of range in a series of first odd then even natural numbers
  54. Sum of the sequence 2, 22, 222, ………
  55. Sum of the series 5+55+555+.. up to n terms
  56. Sum of series 1^2 + 3^2 + 5^2 + . . . + (2*n – 1)^2
  57. Sum of series 2/3 – 4/5 + 6/7 – 8/9 + ——- upto n terms
  58. Sum of the series 0.6, 0.06, 0.006, 0.0006, …to n terms
  59. n-th term in series 2, 12, 36, 80, 150….
  60. Sum of the series 1, 3, 6, 10… (Triangular Numbers)
  61. Sum of the Series 1 + x/1 + x^2/2 + x^3/3 + .. + x^n/n
  62. Sum of the Series 1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + . . . . .
  63. Sum of series (n/1) + (n/2) + (n/3) + (n/4) +…….+ (n/n)
  64. Sum of the series 2 + (2+4) + (2+4+6) + (2+4+6+8) + …… + (2+4+6+8+….+2n)
  65. Sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + …… + (1+3+5+7+…+(2n-1))
  66. Sum of the series 1 + (1+2) + (1+2+3) + (1+2+3+4) + …… + (1+2+3+4+…+n)
  67. Sum of series M/1 + (M+P)/2 + (M+2*P)/4 + (M+3*P)/8……up to infinite
  68. Sum of the series 1.2.3 + 2.3.4 + … + n(n+1)(n+2)
  69. Sum of Series (n^2-1^2) + 2(n^2-2^2) +….n(n^2-n^2)
  70. Find the sum of the series 1+11+111+1111+….. upto n terms
  71. Program to find sum of series 1 + 2 + 2 + 3 + 3 + 3 + . . . + n
  72. Program to find the sum of a Series 1 + 1/2^2 + 1/3^3 + …..+ 1/n^n
  73. Program to find sum of series 1*2*3 + 2*3*4+ 3*4*5 + . . . + n*(n+1)*(n+2)
  74. Program to find the sum of a Series (1*1) + (2*2) + (3*3) + (4*4) + (5*5) + … + (n*n)
  75. Program to get the Sum of series: 1 – x^2/2! + x^4/4! -…. upto nth term
  76. Program to find the sum of a Series 1/1! + 2/2! + 3/3! + 4/4! +…….+ n/n!
  77. Efficient Program to Compute Sum of Series 1/1! + 1/2! + 1/3! + 1/4! + .. + 1/n!
  78. Program to find Sum of a Series a^1/1! + a^2/2! + a^3/3! + a^4/4! +…….+ a^n/n!
  79. Program to find sum of series 1 + 1/2 + 1/3 + 1/4 + .. + 1/n
  80. Digit – Product – Sequence
  81. Pierpont Prime
  82. Harmonic progression Sum
  83. Program to print Arithmetic Progression series
  84. Program for N-th term of Arithmetic Progression series
  85. Program to print GP (Geometric Progression)
  86. Program for N-th term of Geometric Progression series
  87. Find N Arithmetic Means between A and B
  88. Find N Geometric Means between A and B
  89. Number of terms in Geometric Series with given conditions
  90. Finding nth term of any Polynomial Sequence
  91. N-th term of George Cantor set of rational numbers
  92. N-th number which is both a square and a cube
  93. Finding n-th term of series 3, 13, 42, 108, 235…
  94. Find n-th term of series 3, 9, 21, 41, 71…
  95. Find n-th term of series 1, 3, 6, 10, 15, 21…
  96. Find n-th term in series 1 2 2 3 3 3 4 4 4 4….
  97. Find n-th term in the series 7, 15, 32, …
  98. Find n-th term in sequence 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, ….
  99. Find n-th term in the series 9, 33, 73,129 …
  100. Find n-th element in a series with only 2 digits (4 and 7) allowed
  101. Perfect cubes in a range
  102. Find the last digit of series 2^(2^i+ 2j) where i = 0 to 2^i ? n, j varies from 0 to n and n varies from 0 to 10^17
  103. Kaprekar Constant
  104. Check if a given number is Pronic
  105. Check if a given number is Pronic | Efficient Approach
  106. Removing a number from array to make it Geometric Progression
  107. Program for centered nonagonal number
  108. Program to check if N is a Pentagonal Number
  109. Program to print non square numbers
  110. Program to print binomial expansion series
  111. Program to print triangular number series till n
  112. Program for harmonic mean of numbers
  113. Program to print Collatz Sequence
  114. Program for sum of arithmetic series
  115. Geometric mean (Two Methods)
  116. Program for sum of geometric series
  117. Program to find sum of first n natural numbers
  118. Sum of first n odd numbers in O(1) Complexity
  119. Sum of first n even numbers
  120. Sum of square of first n odd numbers
  121. Sum of square of first n even numbers
  122. Sum of squares of first n natural numbers
  123. Sum of cubes of first n odd natural numbers
  124. Sum of cubes of first n even numbers
  125. Program for cube sum of first n natural numbers
  126. Sum of fourth powers of first n odd natural numbers
  127. Sum of fourth power of first n even natural numbers
  128. Sum of fourth powers of the first n natural numbers
  129. Sum of fifth powers of the first n natural numbers
  130. Find the average of first N natural numbers
  131. Average of first n even natural numbers
  132. Average of first n odd naturals numbers
  133. Average of Squares of Natural Numbers
  134. Average of even numbers till a given even number
  135. Average of odd numbers till a given odd number
  136. Minimum De-arrangements present in array of AP (Arithmetic Progression)
  137. Find if a number is part of AP whose first element and difference are given
  138. Number of GP (Geometric Progression) subsequences of size 3
  139. Find combined mean and variance of two series
  140. k-th number in the Odd-Even sequence
  141. Given N and Standard Deviation, find N elements
  142. Find if given number is sum of first n natural numbers
  143. Print Number series without using any loop
  144. Sum of multiples of a number up to N
  145. Check whether a number has exactly three distinct factors or not
  146. First collision point of two series
  147. Armstrong Numbers between two integers
  148. Split n into maximum composite numbers
  149. Find position of the given number among the numbers made of 4 and 7
  150. Find m-th summation of first n natural numbers
  151. Sum of array elements that is first continuously increasing then decreasing
  152. Find the sum of all the terms in the n-th row of the given series
  153. Express a number as sum of consecutive numbers
  154. Find the n-th number made of even digits only
  155. Minimum number of power terms with sum equal to n
  156. Number of elements with odd factors in given range
  157. Print all n-digit numbers with absolute difference between sum of even and odd digits is 1
  158. Print all Good numbers in given range
  159. Print all increasing sequences of length k from first n natural numbers
  160. Expected Number of Trials until Success
  161. Average of a stream of numbers

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