Question

Consider the sequence 9, 16, 25, 36, 49, ...

(1) Write down the next two terms of
the sequence.
i) Find, in terms of n, a formula for the n term
of the sequence.
i) Hence, find the 25th term.

Answer 1

1) 64 and 81

2) a(n) = (n + 2)^2, where n = 1, 2, 3, ...

3) a(25) = (25 + 2)^2 = 27^2 = 729