Mathematics

Grade5

Easy

Question

# Jesus is working on 2 sequences and identifying the numbers they have in common. Pattern 1 starts at 5 and follows the rule "Add 10". Pattern 2 starts at 70 and follows the rule "Subtract 7". Choose the correct number is common to both patterns.

- 28
- 35
- 42
- 55

Hint:

### In mathematics, a number pattern is a series of integers that occur in a specific order. Patterns often describe the inverse relationship between numbers. Patterns can also be used to describe numerical sequences. Here we have given that Jesus is working on 2 sequences and identifying the numbers they have in common. Pattern 1 starts at 5 and follows the rule "Add 10". Pattern 2 starts at 70 and follows the rule "Subtract 7".

So here first we will try to find the series and then find the common term.

## The correct answer is: 35

### So as we know that a pattern or sequence in a series of numbers is called a number pattern. Generally, this pattern builds a connection between all integers.

Some numerological pattern types are:

There are two typical patterns for number sequences:

- Arithmetic Sequences
- Geometric Sequences

The following are some examples of Number Patterns' unique sequences:

- Square Numbers
- Cubic Sequence
- Triangular Numbers
- Fibonacci Numbers

We have been given that pattern 1 starts at 5 and follows the rule "Add 10" and pattern 2 begins at 70 and follows the rule "Subtract 7".

So the series will be:

Pattern 1:

5 + 10 = 15

15 + 10 = 25

25 + 10 =35.

Pattern 2:

70 – 7 = 63

63 - 7 = 56

56 - 7 = 49

49 - 7 = 42

42 - 7 = 35

So the series is formed, and we can identify that the correct common number for both is 35.

Here we were given two number patterns and we have to find the series and then the common term in that. There are numerous different sorts of number patterns. They could be a series of even or odd numbers, multiples of a specific number, ascending or descending, etc. So the series is formed, and we can identify that the correct common number for both is 35.