Answer each question about the following series: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.
What is the common difference of the arithmetic sequence on which the series is based?
d =
1.5 is correct
What is the difference between each pair of numbers?
To find the common difference of an arithmetic sequence, we need to find the difference between consecutive terms in the series.
Let's identify the consecutive terms in the series: 3, 4.5, 6, 7.5, 9, 10.5.
By subtracting each term from its previous term, we get:
4.5 - 3 = 1.5
6 - 4.5 = 1.5
7.5 - 6 = 1.5
9 - 7.5 = 1.5
10.5 - 9 = 1.5
As we can see, the difference between each consecutive term in the series is 1.5.
Therefore, the common difference (d) of the arithmetic sequence is 1.5.
To find the common difference of an arithmetic sequence, we need to determine the difference between any two consecutive terms in the sequence.
Looking at the given series: 3 + 4.5 + 6 + 7.5 + 9 + 10.5, we can observe that each term is obtained by adding 1.5 to the previous term.
Therefore, the common difference (d) of this arithmetic sequence is 1.5.