# Thread: find the pattern

1. ## find the pattern

The Question is:

The "n"th term of a sequence, S, is n^3 +2
The first four terms are 3, 10, 29 and 66.

i, Find The fifth term of S.

ii, The first four terms of another sequence, T, are 4,12, 32 and 70
By Comparing S and T, write down

a, The Fifth term of T.
b, an expression, in terms of n, for nth term of T.

Please help... me in this.... i tried to figure out ii, part but i failed... couldn't able to find the fifth term and an expression... Help me cos my Math paper is on 15th may!! also, provide an explanation for your answer.! thanks!!

2. Originally Posted by Zoheb Imran
The Question is:

The "n"th term of a sequence, S, is n^3 +2
The first four terms are 3, 10, 29 and 66.

i, Find The fifth term of S.

ii, The first four terms of another sequence, T, are 4,12, 32 and 70
By Comparing S and T, write down

a, The Fifth term of T.
b, an expression, in terms of n, for nth term of T.

Please help... me in this.... i tried to figure out ii, part but i failed... couldn't able to find the fifth term and an expression... Help me cos my Math paper is on 15th may!! also, provide an explanation for your answer.! thanks!!
How are the terms related

$\displaystyle \begin{matrix} n=1; \\ 3 \\ 4 \end{matrix} \begin{matrix} n=2; \\ 10 \\12 \end{matrix} \begin{matrix} n=3; \\ 29 \\ 32 \end{matrix} \begin{matrix} n=4; \\ 66\\ 70 && \end{matrix}$

Does this help you see the pattern
hint: look down the columns