Solutions to Logical Puzzles-2

)3
It is of the form 0^2+2,1^2+2,3^2+2,6^2+2,10^2+2,.....
The sequence of n is 0,1,3,6,10,... so the next n is 15 => 15^2+2

2)2
The function is S(n)=S(n-1)*(n+2) + 3 ,n>1
=6 ,n=1

3)1
It is of the form S(n)*3+2 for even and S(n)*2-3 for odd where S(n) is the nth element.
So 7th element = 239*2-3=475

4)2
The function is S(n)=(n+2)^3 -2

5)1
The numbers in the sequence is a combination of n^2 and n^3 and n is odd.

6)2
The function is S(n)=S(n-1)*n-n n>1
=3 n=1

7)

8)1
The function is S(n)=(S(n-1)-1)*(n-1) n>1
=8 n=1

9)

10)