Question

Find the next term in the given number series 2, 3, 10, 15, 26, 35

Answer 1

The above series gives us a simple pattern of square numbers......

The series is :

2, 3, 10, 15, 26, 35

Which can be also written as :

(1² +1), (2² -1),(3² +1),(4²-1),(5² +1),(6² -1)

which is ..... (odd² +1) , (even² -1)..........

so according to the series the next number is.......7(odd)

so next number in the series is = (7² +1)

                                                    = (49+1)

                                                    =  50