# Next number in the series ?

• Feb 16th 2014, 05:03 AM
nishant1988
Next number in the series ?
Hi,

Following is the series :-

3, 76, 49, 24, 59,....

Can anybody help me in finding what is the next number in the above series and the logic behind it ?

Regards,

Nishant Tiwari
• Feb 16th 2014, 06:56 AM
HallsofIvy
Re: Next number in the series ?
Quote:

Originally Posted by nishant1988
Hi,

Following is the series :-

3, 76, 49, 24, 59,....

Can anybody help me in finding what is the next number in the above series and the logic behind it ?

Regards,

Nishant Tiwari

You understand, I hope, that knowing a few numbers in a sequence does NOT require that the rest of the sequence be anything in particular? What they are really asking is "what is the simplest rule that will give these numbers?". And even that may be a matter of taste. For example, given any n numbers, there exist a polynomial, p(x), of degree n-1 that will give those values for x= 1, 2, ..., n. Here there exist a fourth degree polynomial that will give those values. Looking for something simpler, you might try subtracting or dividing consecutive terms but I don't see that that gives anything simple.