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

Q: How do I identify the pattern in a sequence?

Look at how each part changes from one term to the next. In $ 6+5 $ to $ 5+4 $, both numbers decrease by 1. Check if this pattern continues!

Q: Can I work backwards from the known terms?

Absolutely! Since you know $ 3+2 $ comes after the missing term, work backwards: if both numbers increase by 1, you get $ 4+3 $.

Q: Why is 4+3 correct and not 3+4?

Order matters! The pattern shows the larger number first: 6+5, 5+4, so it continues as 4+3, then 3+2. The sequence maintains this left-to-right decreasing pattern.

Q: Are there other types of sequence patterns?

Yes! Sequences can involve multiplication, division, adding different amounts, or even changing operations. Always look for what stays consistent across all terms.

Sequence Patterns with Decreasing Addition Terms

Below is a sequence of exercises.

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

Complete the missing element (?):

$6+5$

$5+4$

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

$3+2$

$2+1$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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 written solution

Follow each step carefully to understand the complete solution

Understand the problem

Below is a sequence of exercises.

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

Complete the missing element (?):

$6+5$

$5+4$

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

$3+2$

$2+1$

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:

$6+5$
$5+4$
$? + ?$
$3+2$
$2+1$

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

From $6+5$ to $5+4$ , the numbers decrease to $5$ and $4$ respectively.
The next pair following this decrement pattern would be $4+3$ .
After this, the sequence continues with $3+2$ .
Thus, the missing pair is $4+3$ .

Let's verify this with the choices given:

Choice 4: $4+3$

This matches the decrement pattern established in the sequence.

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

Final Answer

$4+3$

Key Points to Remember

Essential concepts to master this topic

Pattern Rule: Both numbers in each pair decrease by 1 simultaneously
Technique: From 6+5 to 5+4, both terms drop by 1
Check: Missing term follows pattern: 4+3 then continues to 3+2 ✓

Common Mistakes

Avoid these frequent errors

Only looking at one number in each pair
Don't focus on just the first or second number = miss the complete pattern! This leads to wrong pairs like 3+4 or 5+3. Always observe how both numbers change together in each step.

Practice Quiz

Test your knowledge with interactive questions

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

FAQ

Everything you need to know about this question

How do I identify the pattern in a sequence?

Look at how each part changes from one term to the next. In $6+5$ to $5+4$ , both numbers decrease by 1. Check if this pattern continues!

What if the numbers don't decrease by the same amount?

Some sequences have different rules! The key is to find the consistent pattern. It might be adding 2, subtracting 3, or even alternating operations.

Can I work backwards from the known terms?

Absolutely! Since you know $3+2$ comes after the missing term, work backwards: if both numbers increase by 1, you get $4+3$ .

Why is 4+3 correct and not 3+4?

Order matters! The pattern shows the larger number first: 6+5, 5+4, so it continues as 4+3, then 3+2. The sequence maintains this left-to-right decreasing pattern.

Are there other types of sequence patterns?

Yes! Sequences can involve multiplication, division, adding different amounts, or even changing operations. Always look for what stays consistent across all terms.

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