Find the next three terms of the Arithmetic sequence, 3/4,1/2,1/4,1,..
1/4 is subtracted each time.
3/4,1/2,1/4, 0, . . .
What do you think the next two terms are?
1,2,3
To find the next three terms of an arithmetic sequence, we need to determine the common difference between the terms.
Given the sequence: 3/4, 1/2, 1/4, 1, ..
To find the common difference (d), we subtract any term from the following term. Let's take the first two terms:
1/2 - 3/4 = 2/4 - 3/4 = -1/4
Hence, the common difference is -1/4.
To find the next term in the sequence, we add the common difference to the last term:
1 - 1/4 = 4/4 - 1/4 = 3/4
Therefore, the next term is 3/4.
To find the third term, we add the common difference to the second term:
1/4 - 1/4 = 0
Therefore, the third term is 0.
To find the fourth term, we add the common difference to the third term:
0 - 1/4 = -1/4
Therefore, the fourth term is -1/4.
Thus, the next three terms of the arithmetic sequence 3/4, 1/2, 1/4, 1, .. are 3/4, 0, -1/4.