What is the pattern?

#1

Given a series of numbers 3,10,21,36 …., and series starting from n=1 , find the pattern and output the nth value of above series.

How to find the formula or what is the pattern to solve this kind of questions.

#2

For all the series you have to apply your observiation skills, there is only one funda to find out the pattern, or you may try searching it.

here is a quick explainantion

First term:- 3

Second Term is 3+7 = 10

Third term is 10 + 11 = 21

Fourth Term is 21 + 15 = 36

Fifth Term is 36 + 19 = 55

Sixth Term is 55 + 23 = 78

It is a simple addition series where the number being added to the next term is increasing by 4 everytimg ( 7, 11 , 15 , 19 , 23).So,when finding the sixth term, we have to add 4 to the term which was added previously to the fourth term i.e. 19. So, we add 19+4=23 to the fifth term, 55 and get the answer as 78.