Answer:
First five terms = 0, 1/4, 1/2, 3/4, and 1
Explanation:
The formula for the nth term of an arithmetic sequence is given by:
an = a1 + (n - 1)d, where
- a1 is the first term,
- n is the term position (e.g., 1st, 5th, etc.),
- and d is the common difference.
We're already given the first term (a1 = 0), so we simply need to find the next four terms.
Thus, to find these next four terms, we substitute 0 for a1 and 1/4 for d each time. For n, we substitute the term position for n (e.g., 2 for the 2nd, 3 for the 3rd term, etc.)
2nd term:
an = 0 + (2 - 1)(1/4)
an = (1)(1/4)
an = 1/4
Thus, the 2nd term is 1/4.
3rd term:
an = 0 + (3 - 1)(1/4)
an = (2)(1/4)
an = 2/4
an = 1/2
Thus, the 3rd term is 1/2.
4th term:
an = 0 + (4 - 1)(1/4)
an = (3)(1/4)
an = 3/4
Thus, the 4th term is 3/4.
5th term:
an = 0 + (5 - 1)(1/4)
an = (4)(1/4)
an = 4/4
an = 1
Thus, the 5th term is 1.
Writing the first 5 terms:
Therefore, the first five terms of the sequence are 0, 1/4, 1/2, 3/4, and 1.