Missing Numbers: Overview, Questions, Preparation

Sequence and Series 2021 ( Sequence and Series )

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Rachit Kumar Saxena

Rachit Kumar SaxenaManager-Editorial

Updated on Jun 28, 2021 10:22 IST

What are Missing Numbers?

Missing numbers are the numbers that have been skipped in several identical variations between the series issued.
The method of writing the missing numbers is defined as identifying related differences between certain numbers and filling in the particular series and positions with the missing words. 

Missing Sequence of Numbers

A sequence of numbers following a given law or formula is a number set. There are several forms of series, and one of them is the missing number series. A sequence is issued with one missing number in the missing number series, and you are asked to locate the missing name.

In a Sequence, how to Locate the Missing Number?

You will also find missing numbers at the beginning or at the end of the series in the specified missing number set. In the missing number sequence, the structure is close to the incorrect number series. You need to specify the rule and then use the rule to approximate the next number.

Below are the steps to locate the missing numbers:

1. Select 2 or 3 words in the text to add the rule to locate the missing number. For starters, if you have 5 numbers in a sequence, then select the first 3 words to validate the rule to be added.

2. Choose a number that is easy to work with when selecting the number to verify the rule. These contain terms that are 2, 3, 5, or 10 variables. Use some common methods to verify the series, such as the sum of terms, squares, cubes, or others.

Weightage of Missing Numbers

In class 10th, the arithmetic progression, you may come across some questions, where you have to use missing number concepts. The weightage is 4-5 marks. In Class 11,  weightage is 6-7 marks.

Illustrated Examples on Missing Numbers

1. In the following list, notice a missing number: 5, 7, 11,? , 17, 19

Solution. The number found to be absent is 13.

This is because, in a number line, all the specified number orders include the prime numbers 5, 7, 11, 13, 17, 19, all of which are divisible by only '1' and themselves.

The numerical line sequence would then be 5, 7, 11, 13, 17, 19.

2. In the following number rows, notice a missing number: 1, 3, 9, 15, 25,? , 49.

Solution. The number that is missing is 35.

This is since all the number sequences are squares and alternatively (squares-1) like One square = 1,

2 of a square = 4, so 4-1 = 3,

Square three = 9,

Four squares = 16, so 16-1 = 15,

Six squares = 36, so 36-1 = 35

Therefore, 1, 3, 9, 15, 25, 35, 49 will be the number line.

3. Find the missing number.

Missing_numbers

Solution.  27- 7*2 = 13

144 - 45*2 = 54

68 -32*2 = 4

FAQs on Missing Numbers

Q: How can you find a number in a sequence that is missing?

A: Identify, if the order of the number given in ascending or descending (smaller to larger number) or (larger to smaller number).
Calculate the variations between the ones adjacent to each other.
To measure the missing number, estimate the difference between the figures.

Q: In algebra, what is a series?

A: A series is, roughly speaking, a definition in the mathematics of the process of adding infinitely many quantities to a given starting quantity, one after the other. A big part of calculus and its generalisation, mathematical analysis, is the study of sequences.

Q: How do you describe a sequence?

A; An ordered list of numbers is a sequence. In the pattern formed, the three dots indicate to go forward.

Q: What is the distinction between sequence and series?

A: In a specific order, a sequence is defined as an arrangement of numbers. On the other hand, as the sum of the elements of a sequence, a series is defined.

Q: How do you find the median of a missing number?

A: Use the formula (# +#)/2=median and solve.
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