Question

Make a reasonable conjecture for the next term in the sequence.
1 4 9 16 25

Answer 1

Ans is 36 ...

Explanation:

Well,

lets add these number with odd number

1

3+1=4

5 + 4= 9

7+ 9= 16

9 + 16=25

11 + 25 = 36.........

Hope you will get it.

Answer 2

36

Explanation:

Each time it goes up it adds the next highest odd number.

1

+3

4

+5

9

+7

16

+9

25

And so we can reasonably assume that the next number in the sequence will be the previous number (25) plus the next highest odd number (11). This means that the next number in the sequence is most likely 36.