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
- 127, 116
- 127, 115
- 128, 115
- 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.