Find the Missing Term in Addition Sequence: 6+5 to 2+1 Pattern

Question

Below is a sequence of exercises.

The sequence adheres to a certain term-to-term rule.

Complete the missing element (?):

6+5 6+5

5+4 5+4

?+? \text{?}+\text{?}

3+2 3+2

2+1 2+1

Video Solution

Solution Steps

00:00 Complete the third exercise
00:04 Let's observe the change between elements on the left side
00:09 We'll deduce the pattern for the left side of the third exercise
00:17 Now we'll use the same method for the right side of the exercise
00:20 Let's observe the change between elements on the right side
00:27 We'll deduce the pattern for the right side of the third exercise
00:32 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will first identify the pattern in the sequence of additions and find the missing pair that correctly fits this pattern.

The given sequence is:

  • 6+56+5
  • 5+45+4
  • ?+?? + ?
  • 3+23+2
  • 2+12+1

Notice that in each step, both numbers in the addition pair decrease by 1:

  • From 6+56+5 to 5+45+4, the numbers decrease to 55 and 44 respectively.
  • The next pair following this decrement pattern would be 4+34+3.
  • After this, the sequence continues with 3+23+2.
  • Thus, the missing pair is 4+34+3.

Let's verify this with the choices given:

  • Choice 4: 4+34+3

This matches the decrement pattern established in the sequence.

Therefore, the correct answer is 4+34+3.

Answer

4+3 4+3