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Important for :

1

2 3 10 39 172 ?

2

4 2 3 7.5 26.25 ?

3

15 16 20 29 45 70 106 ?

4

842 ? 2402 3480 4762

5

1 9 36 100 225 ?

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Folks! In this

A numerical series is given in which a number is wrongly placed. You are asked to identify that particular next term. A complete numerical series is followed by an incomplete numerical series. You need to solve that incomplete numerical series in the same pattern in which the complete numerical series is given.

Different types of Number Series are being

The most common patterns followed by number series are:

A series based on Perfect squares is most of the times based on the perfect squares of the numbers in a specific order & generally one of the numbers is missing in this type of series.

Ex: 324, 361, 400, 441,?

Sol: 324 = 182 , 361 = 192, 400 = 202, 441 = 212, 484 = 222

It is based on the cubes of numbers in a particular order and one of the numbers is missing in the series.

Ex: 512, 729, 1000,?

Sol: 83, 93, 103, 113

To solve

At Smartkeeda you can attempt Easy to High Level Number Series quizzes and download (DI) PDF for free. You can also practice Wrong term series quizzes,

Here are the some more types of number series pattern detailed solutions for SBI Clerk Pre 2019.

It is based on either descending or ascending order of numbers and each successive number is obtained by dividing or multiplying the previous number by a specific number.

Ex: 4, 36, 324, 2916 ?

Sol: 4 x 9 = 36, 36 x 9 = 324, 324 x 9 = 2916, 2916 x 9 = 26244.

It consists of a series in which the next term is obtained by adding/subtracting a constant number to its previous term. Example: 4, 9, 14, 19, 24, 29, 34 in which the number to be added to get the new number is 5. Now, we get an arithmetic sequence 2,3,4,5.

Two-stage Type Series:

In a two step Arithmetic series, the differences of consecutive numbers themselves form an arithmetic series.

Ex: 1, 3, 6, 10, 15.....

Sol: 3 - 1 = 2, 6 - 3 = 3, 10 - 6 = 4, 15 - 10 = 5....

Now, we get an arithmetic sequence 2, 3, 4, 5

This particular type of series may have more than one pattern arranged in a single series or it may have been created according to any of the unorthodox rules.

Ex: 10, 22, 46, 94, 190,?

Sol:

10 x 2 = 20 +2 = 22,

22 x 2 = 44 + 2 = 46,

46 x 2 = 92 + 2 = 94,

94 x 2 = 188 + 2 = 190,

190 x 2 = 380 + 2 = 382.

So the missing number is 382.

As the name suggests, Arithmetic –Geometric series is formed by a peculiar combination of Arithmetic and Geometric series. An important property of Arithmetic- Geometric series is that the differences of consecutive terms are in Geometric Sequence they have seen in LIC AAO, LIC AAO, IBPS Clerk, SBI Clerk, NIACL and LIC Exams.

Ex: 1, 4, 8, 11, 22, 25, ?

Sol : Series Type +3 , X2 ( i.e Arithmetic and Geometric Mixing)

1 + 3 = 4, 4 X 2 = 8, 8 + 3 = 11, 11 X 2 = 22, 22 + 3 = 25, 25 X 2 = 50

Geometric - Arithmetic Series is the reverse of Arithmetic - Geometric Series. The differences of suggestive terms are in Arithmetic Series is being asked LIC AAO and

Ex: 1, 2, 6, 36, 44, 440, ?

Sol: Series Type - × 2, + 4, × 6, +8 , × 10

1 × 2 = 2, 2 + 4 = 6, 6 × 6 = 36, 36 + 8 = 44, 44 × 10 = 440, 440 + 12 = 452

As the name of the series specifies, this type of series may consist of two series combined into a single series. The alternating terms of this series may form an independent series in itself.

Ex: 3, 4, 8, 10, 13, 16 ? ?

Sol: As we can see, there are two series formed

Series 1: 3, 8, 13 with a common difference of 5

Series 2: 4, 10, 16 with a common difference of 6

So, next two terms of the series should be 18 & 22 respectively.

I hope this

Regards,

Team Smartkeeda