Mathematics
Grade9
Easy
Question
Can you find the pattern?
3, 5, 1, 3, -1, ___, ___, ____.
- -1, 2
- 3, -5
- 1, -3
- -2, -6
Hint:
We are given a pattern of numbers. We have to find the relation between the numbers and complete the pattern. First, we will see if there is a relation between consecutive numbers. Then, we will try to see if there is relation between alternate numbers.
The correct answer is: 1, -3
The given pattern is 3, 5, 1, 3, -1 __, __
There are five terms in the above pattern.
Let’s see if we can find any direct relation between consecutive numbers.
5 – 3 = 2
1 – 5 = -4
3 – 1 = 2
-1 – 3 = -4
If we see, the first number is increasing by 2 and then 4 is subtracted from the final value. It continues alternatively.
The last step was subtracting four, so the next step will be adding 2.
The last term is -1
So,
-1 + 2 = 1
Now, the next step is subtracting 4.
So,
1 – 4 = -3
The next two terms are 1, -3.
The complete pattern is 3, 5, 1, 3, -1, 1, -3.
For such questions, we should find the relation between the consecutive numbers or if necessary alternate numbers. Another way of solving the above sum is to find the difference between alternate terms. There is constant difference between alternate terms.
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