Missing Series

The sequence of numbers below starts with 1 and continues to 6, where it stops without any other numbers in between them, which makes the sequence incomplete. Find the missing number in the series so that you can complete it as an ordered list of numbers starting from 1 to 6.

A missing term in a series is like an incomplete story, which in turn makes it difficult to follow the plot and understand what happened. Fortunately, if you can find that missing term, it will complete the series and make it infinitely easier to understand where it’s going and why it happens when it does. In this blog post, we’ll show you how to find the missing number in any series by adding up its terms one by one. We’ll also talk about some of the problems that can arise when looking at a series, so be sure to read until the end!

The Missing Number in the series  in maths

First, let’s look at the series and see if you can work out the missing term. 1, 2, 3, 4, 5, 6… Do you know where the missing number should go in the series above? If not – don’t worry about it! This isn’t a maths problem – it is a logic problem so just keep reading. Look again to find the missing term in the series that follows: 1, 2, 3, 4, 5, and now 6… What do you notice about these two series?

Finding The Missing Number in the series  in maths

A series of numbers are given and the missing term in the series is required. For example, in the series 1,4,9,16,25 … 40 ? 41 We need to find out what that number is between 6 and 25 which we call ‘missing’ hence called Missing Series. The method of solving a missing term in the series is very simple. We first have to find out where the missing lie lies even after one place value i.e whether we need to insert a zero or not. Let’s take an example like (1,4) here since 4 lies in between 2 & 3 so here all figures before 5 will be +1 else no addition will be made.

How do you find the missing number in a sequence?

This technique for finding a missing number in a sequence relies on the fact that we already know the values of all numbers in the sequence after the missing number. Using those values, we can create another sequence with a different first number that adds up to the original one, which allows us to find our missing number. This method of finding the missing term in a sequence is called telescoping and it’s pretty easy to understand, even if you’re not good at math. First, write down your starting value (X). Next, figure out what number needs to be added to X so that X+n=the next value in your sequence.

Example 

If $1,000 invested in a series of bonds that pay 6 percent and mature five years apart will earn $10,000, what is a missing term in Series: 4% 3 years, 5% 4 years, 8% 6 years? A: 2%. The correct formula to use is 2 + (5 * 1.05) = 11.2 or an interest rate of 11.2 percent on a $1000 investment after 5 years.

Conclusion

The missing series, consisting of the sum of the natural numbers from 1 to infinity, can be represented in many ways, including in this form: formula_1. While we can easily see that this series converges to formula_2, what if we didn’t know that fact? What if we wanted to determine if this series converges or diverges? It turns out that identifying whether an infinite series converges or diverges depends on identifying whether a certain term in the series is missing and then using that term to find the missing number.