Number Series Questions for Exams

1. Integer Number Sequences – There are particular formulas tricks to solve number series. Each number series question is solved in a particular manner. This series is the sequence of real numbers decimals and fractions. Number series example of this is like 1.3.5.9….. etc. in which what should come next is Solved by number series shortcuts tricks performed by the candidate.
2. Rational Number Sequences – These are the numbers which can be written as a fraction or quotient where numerator and denominator both consist of integers. An example of this series is ½, ¾, 1.75 and 3.25.
3. Arithmetic Sequences – It is a mathematical sequence which consisting of a sequence in which the next term originates by adding a constant to its predecessor. It is solved by a particular formula given by the mathematics Xn = x1 + (n – 1)d. An example of this series is 3, 8, 13, 18, 23, 28, 33, 38, in which number 5 is added to its next number.
4. Geometric Sequences – It is a sequence consisting of a multiplying so as to group in which the following term starts the predecessor with a constant. The formula for this series is Xn= x1 r n-1. An example of this type of number sequence could be the following:
   2, 4, 8, 16, 32, 64, 128, 256, in which multiples of 2 are there.
5. Square Numbers – These are also known as perfect squares in which an integer is the product of that integer with itself. Formula= Xn= n2. An example of this type of number sequence could be the following:
   1, 4, 9, 16, 25, 36, 49, 64, 81, ..
6. Cube Numbers – Same as square numbers but in these types of series an integer is the product of that integer by multiplying 3 times. Formula= Xn=N3. Example:-1, 8, 27, 64, 125, 216, 343, 512, 729, …
7. Fibonacci Series – A sequence consisting of a sequence in which the next term originates by addition of the previous two
   Formula = F0 = 0 , F1 = 1
   Fn = Fn-1 + Fn-2. An example of this type of number sequence could be the following:
   0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

1. 30, 34, 43, 59, 84, 120,?
   (1) 169
   (2) 148
   (3) 153
   (4) 176
   (5) None of these
   Solution: (1) The given pattern is:
   +22, 32, +42, + 62, +72
   So, missing term is 169=120 +72
2. 40, 54, 82, ?, 180 ,250
   (1) 142
   (2) 124
   (3) 136
   (4) 163
   (5) None of these
   Solution: (2) The pattern is: +14, + 28, + 42, + 52, + 70
   So, missing term is 82 + 42=124