1 , 2 , 4 , 9 , .... , .... , .... ? Please help me to complete the series?

Question

ITS VERY URGENT

Answer 1

Let us find the difference between the successive terms in the series 1,2,4,9,... (a). We get,

(2-1),(4-2),(9-4), etc. (ie) 1,2,5,... --(b). If you again find the difference between the terms, you get 1,3,...--(c) etc. So the next terms in (c) will be 5,7,9,11,...

Hence the next terms in (b) will be (5+5=10), (10+7=17), (17+9=26), (26+11=37),...

So the next terms in (a) will be (9+10=19),(19+17=36),(36+26=62),(62+37=9... etc

Writing (a) we get 1,2,4,9,19,36,62,99,...

Writing (b) as differences between successive terms: 1,2,5,10,17,26,37,...

Writing (c) as differences between terms of (b) we get: 1,3,5,7,9,11,...

Therefore the other terms of 1,2,4,9 are 19,36,62,99,...

AJM

Answer 2

1, 2, 4, 9, 16, 25, 36

Because look at this, 1*1=1

I have no idea for 2

But 2*2=4

3*3=9

4*4=16

and so on.

Answer 3

when u see the book answer just observe

    1*1, 2*1, 2*2, 3*3, 4*6, 5*7, 6*8

          But i find no relation b/w 1st four num in the series.

Answer 4

16, 25, 36

Answer 5

1, 2, 4, 9, 16, 25, 36