Mathematics
Grade-4-
Easy

Question

A subtraction rule was used to make the pattern of numbers in the table.

If the pattern continues, then the next two numbers will be

  1. 127, 116    
  2. 127, 115    
  3. 128, 115    
  4. 129, 117    

Hint:

We are given a sequence of numbers. We have been told that subtraction is used to form the given sequence. We have to continue the sequence and find the next two numbers. To find the next terms, we will find the difference between the first and second terms. We will use that value to find the required numbers.

The correct answer is: 127, 115


    The given sequence is 175, 163, 151, 139
    We have to find the next two terms in this sequence.
    Let’s find the difference between the first and second term. It will be the constant that is subtracted from all the terms.
    Constant = first term – second term
    = 175 - 163
    = 12
    So, the difference between each term is 12
    Let’s see how it works for every term.
    163 – 12 = 151
    151 – 12 = 139
    Now, let’s find the next terms.
    The last term from the above sequence is 139
    So, we will subtract 4 from the term
    139 – 12 = 127
    This will be our new first term. We will take this term and subtract 12 to get next term
    127 – 12 = 115
    We got the new terms, “127”and “115”. We will see which option matches these values.
    The complete sequence will be 175, 163, 151, 139, 127, 115
    And the option which is '127, 115’, is the required option.

    For such questions, we should know the basic operations. When the rule used to write the pattern is not mentioned, we have to use all four operations to check the pattern. The operations are addition, subtraction, division, and multiplication.

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