Find the Missing Terms: Solving 2+4, 3+7, 4+10, 5+13 Sequence Pattern

The sequence below is structured according to a term-to-term rule.

What is the first element?

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

2+4 2+4

3+7 3+7

4+10 4+10

5+13 5+13

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the first exercise
00:03 We'll observe the change between elements on the left side
00:11 We'll derive from the pattern the left side of the first exercise
00:20 Now we'll use the same method for the right side of the exercise
00:24 We'll observe the change between elements on the right side
00:29 We'll derive from the pattern the right side of the first exercise
00:39 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The sequence below is structured according to a term-to-term rule.

What is the first element?

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

2+4 2+4

3+7 3+7

4+10 4+10

5+13 5+13

2

Step-by-step solution

We start with the right column in the exercises.

Between each number there is a jump of +3:4+3=7 4+3=7

7+3=10 7+3=10

Etcetera.

Now we move to the left column of the exercises.

Between each number there is a jump of +1:

2+1=3 2+1=3

3+1=4 3+1=4

Now we can figure out which exercise is missing:

The left digit will be:21=1 2-1=1

The right digit will be:43=1 4-3=1

And the missing exercise is:1+1 1+1

3

Final Answer

1+1 1+1

Practice Quiz

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

18 , 22 , 26 , 30

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