Given the arithmetic sequence -6,-2½,1.....71. Find the common difference
Give the arithmetic sequence-6,-2 1/2, 1,…71
To find the common difference in an arithmetic sequence, we need to subtract any two consecutive terms. Let's take the first two terms of the given sequence:
Second term - First term = (-2 1/2) - (-6) = -2.5 + 6 = 3.5
So, the common difference is 3.5.
To find the common difference in an arithmetic sequence, we need to find the difference between any two consecutive terms.
First, we can write down the given arithmetic sequence: -6, -2½, 1, ..., 71.
Now, let's consider the difference between the second term (-2½) and the first term (-6).
-2½ - (-6) = -2½ + 6 = 3½.
Next, let's consider the difference between the third term (1) and the second term (-2½).
1 - (-2½) = 1 + 2½ = 3½.
Notice that the difference between every two consecutive terms is 3½.
Thus, the common difference in the given arithmetic sequence is 3½.