What is the 101st term of the sequence 1, 4, 7, 10...?

What is the 101st term of the sequence 1, 4, 7, 10...?

Explanation

This is an arithmetic sequence with:

  • First term

  • Common difference

General formula for the
th term of an arithmetic sequence:


T_n = a + (n - 1)d

We need the 101st term:


T_{101} = 1 + (101 - 1) times 3 = 1 + 100 times 3 = 1 + 300 = boxed{301}