What is the 75th term in the arithmetic sequence -13, -9, -5, -1,... ?
Use the nth formula to solve for 75th term:
75th term = -13 + 4 *(75 - 1)
= -13 + 4 * 74
= -13 + 296
= 283 - the 75th term
An arithmetic sequence 2,5,8,11,14 is written in order in a book, one hundred numbers per page, beginning on page one. On which page will the number 11,111 appear?
[11,111 - 2] / 3 + 1 =3,704 terms
3,700 / 100 = 37th page will end in 11,099.
The 38th page will begin with: 11,102, 11,105, 11,108, 11,111.