Question

3,34,77,146,247,? Find the missing term

Answer 1

Answer:

410

Step-by-step explanation:

When we start subtracting the term ahead with it later,

we get a series of their differences ;

First order of differences

31, 43, 64, 101

The difference of the differences of the original terms is found,

Second order of differences

43-31 , 64-43, 101-64 = 12, 21, 37

Third order of differences of 12, 21, 37,

we get 9, 16.

We get a series of square of 3² , 4² ...hence the next term will be 25 or 5²

The next term in the second order of differences is,

12, 21, 37, 37+25 = 12, 21, 37, 62

Series of First Order differences

31, 43, 64, 101, 101+62 = 31, 43, 64, 101, 163

Final series would be

3, 34, 77, 146, 247,  247+163 = 3, 34, 77, 146, 247,  410