What is the 100th term of the sequence 7, 4, 1, - 2 ...

The sequence is arithmetic as it goes down 3 every time

Arithmetic nth term formula is an=a1+d (n-1)

an=7-3 (n-1)

an=7-3n+3

an=-3n+10

To find the 100th term substitute n for 100

a100=-3 (100) + 10

a100=-300+10

a100=-290

The 100th term is - 290