# What number is needed to complete the pattern below? 5 10 3 15 20 13 25 30 __.

Number series are the sequences in which the terms follow a certain pattern following which the series progresses further. The student is required to identify that pattern to solve the question.

## Answer: The number needed to complete the pattern 5 10 3 15 20 13 25 30 __ is 23.

Let's understand the solution in detail.

**Explanation:**

We are given the number pattern: 5 10 3 15 20 13 25 30 __

Here, we are required to identify the progression of the series to solve the question.

So, here we can notice that there are three alternate series present in the given question.

Notice the 1st, 4th and the 7th numbers; they progress with an increment of 10, i.e:

⇒ 5 + 10 = **15 **(4th position)

⇒ 15 + 10 = **25 **(7th position)

Now, notice the 2nd, 5th and the 8th numbers; they also progress with an increment of 10, i.e:

⇒ 10 + 10 = **20 **(5th position)

⇒ 20 + 10 = **30 **(8th position)

Now, notice the 3rd, 6th and the 9th numbers; they also progress with an increment of 10, i.e:

⇒ 3 + 10 = **13 **(6th position)

Hence, we add 10 to the 6th number, i.e, 13 to find the missing term.

⇒ 13 + 10 = **23 **(9th position)