Find the first four terms and the 100th term of the sequence whose nth term is given.

an = n2 − 6
a1 =

a2 =

a3 =

a4 =

a100 =

1 answer

a1 = 1^2 - 6 = -5
a2 = 2^2 - 6 = -2
a3 = 3^2 - 6 = 3
a4 = 4^2 - 6 = 10

To find the 100th term, substitute n = 100 into the formula:
a100 = 100^2 - 6 = 10,000 - 6 = 9,994