Question

What cones next 4,1,3,1,2,4,3,_

Answer 1

What is the next number in this sequence and why, 3, 2, 4, 1, 4, -1?

Thanks for A2A.

It's little tough.But don't be bewildered.

In that given series of 3,2,4,1,4,-1,……

let's try to find out a relation between any two consecutive numbers in the series.

By Subtracting sets of consecutive numbers,we get:

3-2=1;

2-4=-2;

4-1=3;

1-4=-3;

4– (-1)=5;

So our new series is 1,-2,3,-3,5,…? (using subtraction values)

Let's observe closely…

1.Positive integers are 1,3,5,.... (with a gap of 2)

2.Negative integers -2,-3,-? (with a gap of 1)

3.Every positive integer is followed by a negative integer.

So it's clear that our next number is gonna be a negative one.

If we follow negative integers series we

Get -2,-3,-4,-5,….(with a gap of 1)

So our new series is 1,-2,3,-3,5,-4,7,-5,9,-6;

Using the values of our new series.We get our main series goes like

3-2=1;

2-4=-2;

4-1=3;

1-4=-3;

4– (-1)=5;

-1-(x)=-4; so x=3

3-(x)=7; so x =-4;

So our main sequence is 3,2,4,1,4,-1,3,-4…