Mathematics

Grade-4-

Easy

Question

# What will be the next number in this series of numbers?

107,97, 87, 77, ________.

- 67
- 57
- 47
- 37

Hint:

### We are given a number series with last term missing. We have to find the rule used to write the pattern and complete the sequence. We will try to find the relation between the first and second term. Using the relation we will find the missing term.

## The correct answer is: 67

### The given sequence is 107, 97, 87, 77, __

We will subtract the second term from the first term.

We will see if we get a constant that we can use to write the complete pattern.

107 – 97 = 10

Now, we will subtract this constant from the second term to see if we get the third term. The number sequence of decreasing. So, we need to subtract the constant.

97 – 10 = 87

This matches the third term of given sequence. So, we will continue the addition to see if we get the other terms right too.

87 – 10 = 77

77 – 10 = 67

All the terms matches the given pattern.

The complete sequence will be 107, 97, 87, 77, 67

Therefore, the missing term is 67.

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.