Number Series Involving Exponential Terms


 
 
Concept Explanation
 

Number Series Involving Exponential Terms

 Number series is a progression or an ordered list of numbers governed by a pattern or rule. Numbers in a sequence are called terms. A sequence that continues indefinitely without terminating is referred to as infinite sequence, whereas a sequence with an end is known as finite sequence. Questions related to Number Series series questions can be solved by using Square or Cube like exponents. In this method, we will square or cube and using addition / subtraction to get the second term. Using the same method, get the third term and so on. On the basis of the result, we will find the next number in the series.

Number Square Cube
1 1 1
2 4 8
3 9 27
4 16 64
5 25 125
6 36 216
7 49 343
8 64 512
9 81 729
10 100 1000
11 121 1331
12 144 1728
13 169 2197
14 196 2744
15 225 3375

Some examples are:

n^{2}  SERIES

Example : Find the missing term.

1, 4, 9,  ?, 25

(1) 30                 (2) 16                (3) 36                (4) 32

Answer : (2)

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Sample Questions
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Question : 1

Find the next term in the series.

462, 506, 552, 600, ?

Right Option : D
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Question : 2

Find the term in the series

0, 7, 26, 63, 124, ?

Right Option : A
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Explanation
Question : 3

11, 28, 327, 464, 5125, ?

Right Option : A
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Explanation
 
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