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1)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)
Answer for question 9 is option 1 which is 1353.
ReplyDeleteLogic is s(n)=s(n-1)+reverse of s(s-1)
eg . s(6) = 726 + reverse(726) = 726+627 = 1353