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

Question

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

What is the first element?

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

$2+4$

$3+7$

$4+10$

$5+13$

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

We start with the right column in the exercises.

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

$7+3=10$

Etcetera.

Now we move to the left column of the exercises.

Between each number there is a jump of +1:

$2+1=3$

$3+1=4$

Now we can figure out which exercise is missing:

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

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

And the missing exercise is: $1+1$

$1+1$